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Finding the Third Proportional to 77,508 and 115,746

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Solution

The third proportional to 77,508 and 115,746 is: 172,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,508 : 115,746 = 115,746 : x
  2. Step 2: Convert to fraction form
    77,508/115,746 = 115,746/x
  3. Step 3: Cross multiply
    77,508x = 115,746 × 115,746
  4. Step 4: Simplify right side
    77,508x = 13,397,136,516
  5. Step 5: Solve for x
    x = 13,397,136,516/77,508
  6. Step 6: Final answer
    x = 172,848.44

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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.