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Finding the Third Proportional to 80,386 and 176,537

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Solution

The third proportional to 80,386 and 176,537 is: 387,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,386 : 176,537 = 176,537 : x
  2. Step 2: Convert to fraction form
    80,386/176,537 = 176,537/x
  3. Step 3: Cross multiply
    80,386x = 176,537 × 176,537
  4. Step 4: Simplify right side
    80,386x = 31,165,312,369
  5. Step 5: Solve for x
    x = 31,165,312,369/80,386
  6. Step 6: Final answer
    x = 387,695.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.