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Finding the Third Proportional to 434,676 and 691,614

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Solution

The third proportional to 434,676 and 691,614 is: 1,100,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,676 : 691,614 = 691,614 : x
  2. Step 2: Convert to fraction form
    434,676/691,614 = 691,614/x
  3. Step 3: Cross multiply
    434,676x = 691,614 × 691,614
  4. Step 4: Simplify right side
    434,676x = 478,329,924,996
  5. Step 5: Solve for x
    x = 478,329,924,996/434,676
  6. Step 6: Final answer
    x = 1,100,428.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.