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Finding the Third Proportional to 61,707 and 91,749

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Solution

The third proportional to 61,707 and 91,749 is: 136,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,707 : 91,749 = 91,749 : x
  2. Step 2: Convert to fraction form
    61,707/91,749 = 91,749/x
  3. Step 3: Cross multiply
    61,707x = 91,749 × 91,749
  4. Step 4: Simplify right side
    61,707x = 8,417,879,001
  5. Step 5: Solve for x
    x = 8,417,879,001/61,707
  6. Step 6: Final answer
    x = 136,416.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.