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Finding the Third Proportional to 31,516,120 and 67,740,368

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Solution

The third proportional to 31,516,120 and 67,740,368 is: 145,600,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516,120 : 67,740,368 = 67,740,368 : x
  2. Step 2: Convert to fraction form
    31,516,120/67,740,368 = 67,740,368/x
  3. Step 3: Cross multiply
    31,516,120x = 67,740,368 × 67,740,368
  4. Step 4: Simplify right side
    31,516,120x = 4,588,757,456,775,424
  5. Step 5: Solve for x
    x = 4,588,757,456,775,424/31,516,120
  6. Step 6: Final answer
    x = 145,600,329.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.