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Finding the Third Proportional to 356,839.88 and 784,654.88

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Solution

The third proportional to 356,839.88 and 784,654.88 is: 1,725,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,839.88 : 784,654.88 = 784,654.88 : x
  2. Step 2: Convert to fraction form
    356,839.88/784,654.88 = 784,654.88/x
  3. Step 3: Cross multiply
    356,839.88x = 784,654.88 × 784,654.88
  4. Step 4: Simplify right side
    356,839.88x = 615,683,272,861.27
  5. Step 5: Solve for x
    x = 615,683,272,861.27/356,839.88
  6. Step 6: Final answer
    x = 1,725,376.89

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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.