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Finding the Third Proportional to 77,549 and 116,972

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Solution

The third proportional to 77,549 and 116,972 is: 176,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,549 : 116,972 = 116,972 : x
  2. Step 2: Convert to fraction form
    77,549/116,972 = 116,972/x
  3. Step 3: Cross multiply
    77,549x = 116,972 × 116,972
  4. Step 4: Simplify right side
    77,549x = 13,682,448,784
  5. Step 5: Solve for x
    x = 13,682,448,784/77,549
  6. Step 6: Final answer
    x = 176,436.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.