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Finding the Third Proportional to 434,666 and 664,909

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Solution

The third proportional to 434,666 and 664,909 is: 1,017,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,666 : 664,909 = 664,909 : x
  2. Step 2: Convert to fraction form
    434,666/664,909 = 664,909/x
  3. Step 3: Cross multiply
    434,666x = 664,909 × 664,909
  4. Step 4: Simplify right side
    434,666x = 442,103,978,281
  5. Step 5: Solve for x
    x = 442,103,978,281/434,666
  6. Step 6: Final answer
    x = 1,017,111.94

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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.