Home / 270,513-420,517.50

Finding the Third Proportional to 270,513 and 420,517.50

Calculator

Solution

The third proportional to 270,513 and 420,517.50 is: 653,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,513 : 420,517.50 = 420,517.50 : x
  2. Step 2: Convert to fraction form
    270,513/420,517.50 = 420,517.50/x
  3. Step 3: Cross multiply
    270,513x = 420,517.50 × 420,517.50
  4. Step 4: Simplify right side
    270,513x = 176,834,967,806.25
  5. Step 5: Solve for x
    x = 176,834,967,806.25/270,513
  6. Step 6: Final answer
    x = 653,702.29

Related Problems

Find third proportional to 135,256.50 and 210,258.75
Half scale
Find third proportional to 541,026 and 841,035
Double scale
Find third proportional to 270,515 and 420,521
Similar ratio
Find third proportional to 405,769.50 and 630,776.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.