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Finding the Third Proportional to 77,159,860 and 166,434,432

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Solution

The third proportional to 77,159,860 and 166,434,432 is: 359,000,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,159,860 : 166,434,432 = 166,434,432 : x
  2. Step 2: Convert to fraction form
    77,159,860/166,434,432 = 166,434,432/x
  3. Step 3: Cross multiply
    77,159,860x = 166,434,432 × 166,434,432
  4. Step 4: Simplify right side
    77,159,860x = 27,700,420,155,162,624
  5. Step 5: Solve for x
    x = 27,700,420,155,162,624/77,159,860
  6. Step 6: Final answer
    x = 359,000,394.18

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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.