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Finding the Third Proportional to 434,661 and 664,900

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Solution

The third proportional to 434,661 and 664,900 is: 1,017,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,661 : 664,900 = 664,900 : x
  2. Step 2: Convert to fraction form
    434,661/664,900 = 664,900/x
  3. Step 3: Cross multiply
    434,661x = 664,900 × 664,900
  4. Step 4: Simplify right side
    434,661x = 442,092,010,000
  5. Step 5: Solve for x
    x = 442,092,010,000/434,661
  6. Step 6: Final answer
    x = 1,017,096.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.