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Finding the Third Proportional to 31,239,478 and 67,852,234

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Solution

The third proportional to 31,239,478 and 67,852,234 is: 147,375,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239,478 : 67,852,234 = 67,852,234 : x
  2. Step 2: Convert to fraction form
    31,239,478/67,852,234 = 67,852,234/x
  3. Step 3: Cross multiply
    31,239,478x = 67,852,234 × 67,852,234
  4. Step 4: Simplify right side
    31,239,478x = 4,603,925,658,790,756
  5. Step 5: Solve for x
    x = 4,603,925,658,790,756/31,239,478
  6. Step 6: Final answer
    x = 147,375,242.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.