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Finding the Third Proportional to 77,161,684 and 166,438,700

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Solution

The third proportional to 77,161,684 and 166,438,700 is: 359,010,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,684 : 166,438,700 = 166,438,700 : x
  2. Step 2: Convert to fraction form
    77,161,684/166,438,700 = 166,438,700/x
  3. Step 3: Cross multiply
    77,161,684x = 166,438,700 × 166,438,700
  4. Step 4: Simplify right side
    77,161,684x = 27,701,840,857,690,000
  5. Step 5: Solve for x
    x = 27,701,840,857,690,000/77,161,684
  6. Step 6: Final answer
    x = 359,010,319.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.