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Finding the Third Proportional to 49,502 and 76,737

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Solution

The third proportional to 49,502 and 76,737 is: 118,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502 : 76,737 = 76,737 : x
  2. Step 2: Convert to fraction form
    49,502/76,737 = 76,737/x
  3. Step 3: Cross multiply
    49,502x = 76,737 × 76,737
  4. Step 4: Simplify right side
    49,502x = 5,888,567,169
  5. Step 5: Solve for x
    x = 5,888,567,169/49,502
  6. Step 6: Final answer
    x = 118,956.15

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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.