Home / 65,712-96,840

Finding the Third Proportional to 65,712 and 96,840

Calculator

Solution

The third proportional to 65,712 and 96,840 is: 142,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712 : 96,840 = 96,840 : x
  2. Step 2: Convert to fraction form
    65,712/96,840 = 96,840/x
  3. Step 3: Cross multiply
    65,712x = 96,840 × 96,840
  4. Step 4: Simplify right side
    65,712x = 9,377,985,600
  5. Step 5: Solve for x
    x = 9,377,985,600/65,712
  6. Step 6: Final answer
    x = 142,713.44

Related Problems

Find third proportional to 32,856 and 48,420
Half scale
Find third proportional to 131,424 and 193,680
Double scale
Find third proportional to 65,714 and 96,843
Similar ratio
Find third proportional to 98,568 and 145,260
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.