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Finding the Third Proportional to 658,816,560 and 878,318,850

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Solution

The third proportional to 658,816,560 and 878,318,850 is: 1,170,954,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,816,560 : 878,318,850 = 878,318,850 : x
  2. Step 2: Convert to fraction form
    658,816,560/878,318,850 = 878,318,850/x
  3. Step 3: Cross multiply
    658,816,560x = 878,318,850 × 878,318,850
  4. Step 4: Simplify right side
    658,816,560x = 771,444,002,265,322,496
  5. Step 5: Solve for x
    x = 771,444,002,265,322,496/658,816,560
  6. Step 6: Final answer
    x = 1,170,954,176.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.