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Finding the Third Proportional to 81,788.06 and 176,710.78

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Solution

The third proportional to 81,788.06 and 176,710.78 is: 381,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,788.06 : 176,710.78 = 176,710.78 : x
  2. Step 2: Convert to fraction form
    81,788.06/176,710.78 = 176,710.78/x
  3. Step 3: Cross multiply
    81,788.06x = 176,710.78 × 176,710.78
  4. Step 4: Simplify right side
    81,788.06x = 31,226,700,209.99
  5. Step 5: Solve for x
    x = 31,226,700,209.99/81,788.06
  6. Step 6: Final answer
    x = 381,800.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.