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Finding the Third Proportional to 425,705 and 659,211

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Solution

The third proportional to 425,705 and 659,211 is: 1,020,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,705 : 659,211 = 659,211 : x
  2. Step 2: Convert to fraction form
    425,705/659,211 = 659,211/x
  3. Step 3: Cross multiply
    425,705x = 659,211 × 659,211
  4. Step 4: Simplify right side
    425,705x = 434,559,142,521
  5. Step 5: Solve for x
    x = 434,559,142,521/425,705
  6. Step 6: Final answer
    x = 1,020,798.78

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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.