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Finding the Third Proportional to 658,816,570 and 878,318,865

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Solution

The third proportional to 658,816,570 and 878,318,865 is: 1,170,954,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,816,570 : 878,318,865 = 878,318,865 : x
  2. Step 2: Convert to fraction form
    658,816,570/878,318,865 = 878,318,865/x
  3. Step 3: Cross multiply
    658,816,570x = 878,318,865 × 878,318,865
  4. Step 4: Simplify right side
    658,816,570x = 771,444,028,614,888,192
  5. Step 5: Solve for x
    x = 771,444,028,614,888,192/658,816,570
  6. Step 6: Final answer
    x = 1,170,954,198.40

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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.