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Finding the Third Proportional to 425,709 and 659,217

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Solution

The third proportional to 425,709 and 659,217 is: 1,020,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,709 : 659,217 = 659,217 : x
  2. Step 2: Convert to fraction form
    425,709/659,217 = 659,217/x
  3. Step 3: Cross multiply
    425,709x = 659,217 × 659,217
  4. Step 4: Simplify right side
    425,709x = 434,567,053,089
  5. Step 5: Solve for x
    x = 434,567,053,089/425,709
  6. Step 6: Final answer
    x = 1,020,807.77

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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.