Home / 310,081-420,824

Finding the Third Proportional to 310,081 and 420,824

Calculator

Solution

The third proportional to 310,081 and 420,824 is: 571,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,081 : 420,824 = 420,824 : x
  2. Step 2: Convert to fraction form
    310,081/420,824 = 420,824/x
  3. Step 3: Cross multiply
    310,081x = 420,824 × 420,824
  4. Step 4: Simplify right side
    310,081x = 177,092,838,976
  5. Step 5: Solve for x
    x = 177,092,838,976/310,081
  6. Step 6: Final answer
    x = 571,117.99

Related Problems

Find third proportional to 155,040.50 and 210,412
Half scale
Find third proportional to 620,162 and 841,648
Double scale
Find third proportional to 310,083 and 420,827
Similar ratio
Find third proportional to 465,121.50 and 631,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.