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Finding the Third Proportional to 434,599 and 639,331

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Solution

The third proportional to 434,599 and 639,331 is: 940,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,599 : 639,331 = 639,331 : x
  2. Step 2: Convert to fraction form
    434,599/639,331 = 639,331/x
  3. Step 3: Cross multiply
    434,599x = 639,331 × 639,331
  4. Step 4: Simplify right side
    434,599x = 408,744,127,561
  5. Step 5: Solve for x
    x = 408,744,127,561/434,599
  6. Step 6: Final answer
    x = 940,508.67

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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.