Home / 142,107-310,959

Finding the Third Proportional to 142,107 and 310,959

Calculator

Solution

The third proportional to 142,107 and 310,959 is: 680,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,107 : 310,959 = 310,959 : x
  2. Step 2: Convert to fraction form
    142,107/310,959 = 310,959/x
  3. Step 3: Cross multiply
    142,107x = 310,959 × 310,959
  4. Step 4: Simplify right side
    142,107x = 96,695,499,681
  5. Step 5: Solve for x
    x = 96,695,499,681/142,107
  6. Step 6: Final answer
    x = 680,441.50

Related Problems

Find third proportional to 71,053.50 and 155,479.50
Half scale
Find third proportional to 284,214 and 621,918
Double scale
Find third proportional to 142,109 and 310,963
Similar ratio
Find third proportional to 213,160.50 and 466,438.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.