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Finding the Third Proportional to 81,787.88 and 119,981.63

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Solution

The third proportional to 81,787.88 and 119,981.63 is: 176,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787.88 : 119,981.63 = 119,981.63 : x
  2. Step 2: Convert to fraction form
    81,787.88/119,981.63 = 119,981.63/x
  3. Step 3: Cross multiply
    81,787.88x = 119,981.63 × 119,981.63
  4. Step 4: Simplify right side
    81,787.88x = 14,395,590,337.64
  5. Step 5: Solve for x
    x = 14,395,590,337.64/81,787.88
  6. Step 6: Final answer
    x = 176,011.30

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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.