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Finding the Third Proportional to 425,701 and 659,208

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Solution

The third proportional to 425,701 and 659,208 is: 1,020,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,701 : 659,208 = 659,208 : x
  2. Step 2: Convert to fraction form
    425,701/659,208 = 659,208/x
  3. Step 3: Cross multiply
    425,701x = 659,208 × 659,208
  4. Step 4: Simplify right side
    425,701x = 434,555,187,264
  5. Step 5: Solve for x
    x = 434,555,187,264/425,701
  6. Step 6: Final answer
    x = 1,020,799.08

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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.