Home / 65,840-97,032

Finding the Third Proportional to 65,840 and 97,032

Calculator

Solution

The third proportional to 65,840 and 97,032 is: 143,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840 : 97,032 = 97,032 : x
  2. Step 2: Convert to fraction form
    65,840/97,032 = 97,032/x
  3. Step 3: Cross multiply
    65,840x = 97,032 × 97,032
  4. Step 4: Simplify right side
    65,840x = 9,415,209,024
  5. Step 5: Solve for x
    x = 9,415,209,024/65,840
  6. Step 6: Final answer
    x = 143,001.35

Related Problems

Find third proportional to 32,920 and 48,516
Half scale
Find third proportional to 131,680 and 194,064
Double scale
Find third proportional to 65,842 and 97,035
Similar ratio
Find third proportional to 98,760 and 145,548
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.