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Finding the Third Proportional to 12,957,408 and 29,997,216

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Solution

The third proportional to 12,957,408 and 29,997,216 is: 69,445,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957,408 : 29,997,216 = 29,997,216 : x
  2. Step 2: Convert to fraction form
    12,957,408/29,997,216 = 29,997,216/x
  3. Step 3: Cross multiply
    12,957,408x = 29,997,216 × 29,997,216
  4. Step 4: Simplify right side
    12,957,408x = 899,832,967,750,656
  5. Step 5: Solve for x
    x = 899,832,967,750,656/12,957,408
  6. Step 6: Final answer
    x = 69,445,445.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.