Home / 272,400-420,088

Finding the Third Proportional to 272,400 and 420,088

Calculator

Solution

The third proportional to 272,400 and 420,088 is: 647,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,400 : 420,088 = 420,088 : x
  2. Step 2: Convert to fraction form
    272,400/420,088 = 420,088/x
  3. Step 3: Cross multiply
    272,400x = 420,088 × 420,088
  4. Step 4: Simplify right side
    272,400x = 176,473,927,744
  5. Step 5: Solve for x
    x = 176,473,927,744/272,400
  6. Step 6: Final answer
    x = 647,848.49

Related Problems

Find third proportional to 136,200 and 210,044
Half scale
Find third proportional to 544,800 and 840,176
Double scale
Find third proportional to 272,402 and 420,091
Similar ratio
Find third proportional to 408,600 and 630,132
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.