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Finding the Third Proportional to 31,896,513 and 69,565,941

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Solution

The third proportional to 31,896,513 and 69,565,941 is: 151,722,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896,513 : 69,565,941 = 69,565,941 : x
  2. Step 2: Convert to fraction form
    31,896,513/69,565,941 = 69,565,941/x
  3. Step 3: Cross multiply
    31,896,513x = 69,565,941 × 69,565,941
  4. Step 4: Simplify right side
    31,896,513x = 4,839,420,147,215,481
  5. Step 5: Solve for x
    x = 4,839,420,147,215,481/31,896,513
  6. Step 6: Final answer
    x = 151,722,545.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.