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Finding the Third Proportional to 103,479,424 and 172,455,328

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Solution

The third proportional to 103,479,424 and 172,455,328 is: 287,408,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,479,424 : 172,455,328 = 172,455,328 : x
  2. Step 2: Convert to fraction form
    103,479,424/172,455,328 = 172,455,328/x
  3. Step 3: Cross multiply
    103,479,424x = 172,455,328 × 172,455,328
  4. Step 4: Simplify right side
    103,479,424x = 29,740,840,155,587,584
  5. Step 5: Solve for x
    x = 29,740,840,155,587,584/103,479,424
  6. Step 6: Final answer
    x = 287,408,249.93

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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.