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Finding the Third Proportional to 58,503.50 and 96,098

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Solution

The third proportional to 58,503.50 and 96,098 is: 157,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,503.50 : 96,098 = 96,098 : x
  2. Step 2: Convert to fraction form
    58,503.50/96,098 = 96,098/x
  3. Step 3: Cross multiply
    58,503.50x = 96,098 × 96,098
  4. Step 4: Simplify right side
    58,503.50x = 9,234,825,604
  5. Step 5: Solve for x
    x = 9,234,825,604/58,503.50
  6. Step 6: Final answer
    x = 157,850.82

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.