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Finding the Third Proportional to 142,974,734 and 220,932,422

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Solution

The third proportional to 142,974,734 and 220,932,422 is: 341,396,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,974,734 : 220,932,422 = 220,932,422 : x
  2. Step 2: Convert to fraction form
    142,974,734/220,932,422 = 220,932,422/x
  3. Step 3: Cross multiply
    142,974,734x = 220,932,422 × 220,932,422
  4. Step 4: Simplify right side
    142,974,734x = 48,811,135,090,786,080
  5. Step 5: Solve for x
    x = 48,811,135,090,786,080/142,974,734
  6. Step 6: Final answer
    x = 341,396,928.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.