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Finding the Third Proportional to 63,580.50 and 98,505

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Solution

The third proportional to 63,580.50 and 98,505 is: 152,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,580.50 : 98,505 = 98,505 : x
  2. Step 2: Convert to fraction form
    63,580.50/98,505 = 98,505/x
  3. Step 3: Cross multiply
    63,580.50x = 98,505 × 98,505
  4. Step 4: Simplify right side
    63,580.50x = 9,703,235,025
  5. Step 5: Solve for x
    x = 9,703,235,025/63,580.50
  6. Step 6: Final answer
    x = 152,613.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.