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Finding the Third Proportional to 83,847,160 and 133,329,126

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Solution

The third proportional to 83,847,160 and 133,329,126 is: 212,012,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847,160 : 133,329,126 = 133,329,126 : x
  2. Step 2: Convert to fraction form
    83,847,160/133,329,126 = 133,329,126/x
  3. Step 3: Cross multiply
    83,847,160x = 133,329,126 × 133,329,126
  4. Step 4: Simplify right side
    83,847,160x = 17,776,655,839,923,876
  5. Step 5: Solve for x
    x = 17,776,655,839,923,876/83,847,160
  6. Step 6: Final answer
    x = 212,012,617.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.