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Finding the Third Proportional to 31,148,363 and 67,086,985

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Solution

The third proportional to 31,148,363 and 67,086,985 is: 144,491,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,148,363 : 67,086,985 = 67,086,985 : x
  2. Step 2: Convert to fraction form
    31,148,363/67,086,985 = 67,086,985/x
  3. Step 3: Cross multiply
    31,148,363x = 67,086,985 × 67,086,985
  4. Step 4: Simplify right side
    31,148,363x = 4,500,663,556,390,225
  5. Step 5: Solve for x
    x = 4,500,663,556,390,225/31,148,363
  6. Step 6: Final answer
    x = 144,491,174.59

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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.