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Finding the Third Proportional to 396,856.13 and 614,678.63

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Solution

The third proportional to 396,856.13 and 614,678.63 is: 952,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,856.13 : 614,678.63 = 614,678.63 : x
  2. Step 2: Convert to fraction form
    396,856.13/614,678.63 = 614,678.63/x
  3. Step 3: Cross multiply
    396,856.13x = 614,678.63 × 614,678.63
  4. Step 4: Simplify right side
    396,856.13x = 377,829,812,031.89
  5. Step 5: Solve for x
    x = 377,829,812,031.89/396,856.13
  6. Step 6: Final answer
    x = 952,057.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.