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Finding the Third Proportional to 4,902 and 10,737

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Solution

The third proportional to 4,902 and 10,737 is: 23,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 10,737 = 10,737 : x
  2. Step 2: Convert to fraction form
    4,902/10,737 = 10,737/x
  3. Step 3: Cross multiply
    4,902x = 10,737 × 10,737
  4. Step 4: Simplify right side
    4,902x = 115,283,169
  5. Step 5: Solve for x
    x = 115,283,169/4,902
  6. Step 6: Final answer
    x = 23,517.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.