Home / 65,724-97,842

Finding the Third Proportional to 65,724 and 97,842

Calculator

Solution

The third proportional to 65,724 and 97,842 is: 145,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724 : 97,842 = 97,842 : x
  2. Step 2: Convert to fraction form
    65,724/97,842 = 97,842/x
  3. Step 3: Cross multiply
    65,724x = 97,842 × 97,842
  4. Step 4: Simplify right side
    65,724x = 9,573,056,964
  5. Step 5: Solve for x
    x = 9,573,056,964/65,724
  6. Step 6: Final answer
    x = 145,655.42

Related Problems

Find third proportional to 32,862 and 48,921
Half scale
Find third proportional to 131,448 and 195,684
Double scale
Find third proportional to 65,726 and 97,845
Similar ratio
Find third proportional to 98,586 and 146,763
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.