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Finding the Third Proportional to 425,196 and 659,320

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Solution

The third proportional to 425,196 and 659,320 is: 1,022,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,196 : 659,320 = 659,320 : x
  2. Step 2: Convert to fraction form
    425,196/659,320 = 659,320/x
  3. Step 3: Cross multiply
    425,196x = 659,320 × 659,320
  4. Step 4: Simplify right side
    425,196x = 434,702,862,400
  5. Step 5: Solve for x
    x = 434,702,862,400/425,196
  6. Step 6: Final answer
    x = 1,022,358.78

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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.