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Finding the Third Proportional to 59,902 and 128,551

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Solution

The third proportional to 59,902 and 128,551 is: 275,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902 : 128,551 = 128,551 : x
  2. Step 2: Convert to fraction form
    59,902/128,551 = 128,551/x
  3. Step 3: Cross multiply
    59,902x = 128,551 × 128,551
  4. Step 4: Simplify right side
    59,902x = 16,525,359,601
  5. Step 5: Solve for x
    x = 16,525,359,601/59,902
  6. Step 6: Final answer
    x = 275,873.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.