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Finding the Third Proportional to 534,902 and 830,920

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Solution

The third proportional to 534,902 and 830,920 is: 1,290,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,902 : 830,920 = 830,920 : x
  2. Step 2: Convert to fraction form
    534,902/830,920 = 830,920/x
  3. Step 3: Cross multiply
    534,902x = 830,920 × 830,920
  4. Step 4: Simplify right side
    534,902x = 690,428,046,400
  5. Step 5: Solve for x
    x = 690,428,046,400/534,902
  6. Step 6: Final answer
    x = 1,290,756.15

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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.