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Finding the Third Proportional to 31,465,856 and 68,469,184

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Solution

The third proportional to 31,465,856 and 68,469,184 is: 148,987,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465,856 : 68,469,184 = 68,469,184 : x
  2. Step 2: Convert to fraction form
    31,465,856/68,469,184 = 68,469,184/x
  3. Step 3: Cross multiply
    31,465,856x = 68,469,184 × 68,469,184
  4. Step 4: Simplify right side
    31,465,856x = 4,688,029,157,625,856
  5. Step 5: Solve for x
    x = 4,688,029,157,625,856/31,465,856
  6. Step 6: Final answer
    x = 148,987,815.80

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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.