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Finding the Third Proportional to 81,364 and 119,549

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Solution

The third proportional to 81,364 and 119,549 is: 175,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364 : 119,549 = 119,549 : x
  2. Step 2: Convert to fraction form
    81,364/119,549 = 119,549/x
  3. Step 3: Cross multiply
    81,364x = 119,549 × 119,549
  4. Step 4: Simplify right side
    81,364x = 14,291,963,401
  5. Step 5: Solve for x
    x = 14,291,963,401/81,364
  6. Step 6: Final answer
    x = 175,654.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.