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Finding the Third Proportional to 83,496,434 and 134,220,081

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Solution

The third proportional to 83,496,434 and 134,220,081 is: 215,758,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,496,434 : 134,220,081 = 134,220,081 : x
  2. Step 2: Convert to fraction form
    83,496,434/134,220,081 = 134,220,081/x
  3. Step 3: Cross multiply
    83,496,434x = 134,220,081 × 134,220,081
  4. Step 4: Simplify right side
    83,496,434x = 18,015,030,143,646,560
  5. Step 5: Solve for x
    x = 18,015,030,143,646,560/83,496,434
  6. Step 6: Final answer
    x = 215,758,078.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.