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Finding the Third Proportional to 103,479,432 and 172,455,340

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Solution

The third proportional to 103,479,432 and 172,455,340 is: 287,408,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,479,432 : 172,455,340 = 172,455,340 : x
  2. Step 2: Convert to fraction form
    103,479,432/172,455,340 = 172,455,340/x
  3. Step 3: Cross multiply
    103,479,432x = 172,455,340 × 172,455,340
  4. Step 4: Simplify right side
    103,479,432x = 29,740,844,294,515,600
  5. Step 5: Solve for x
    x = 29,740,844,294,515,600/103,479,432
  6. Step 6: Final answer
    x = 287,408,267.71

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.