Home / 65,096-97,644

Finding the Third Proportional to 65,096 and 97,644

Calculator

Solution

The third proportional to 65,096 and 97,644 is: 146,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096 : 97,644 = 97,644 : x
  2. Step 2: Convert to fraction form
    65,096/97,644 = 97,644/x
  3. Step 3: Cross multiply
    65,096x = 97,644 × 97,644
  4. Step 4: Simplify right side
    65,096x = 9,534,350,736
  5. Step 5: Solve for x
    x = 9,534,350,736/65,096
  6. Step 6: Final answer
    x = 146,466

Related Problems

Find third proportional to 32,548 and 48,822
Half scale
Find third proportional to 130,192 and 195,288
Double scale
Find third proportional to 65,098 and 97,647
Similar ratio
Find third proportional to 97,644 and 146,466
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.