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Finding the Third Proportional to 12,386,474 and 17,115,855

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Solution

The third proportional to 12,386,474 and 17,115,855 is: 23,650,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386,474 : 17,115,855 = 17,115,855 : x
  2. Step 2: Convert to fraction form
    12,386,474/17,115,855 = 17,115,855/x
  3. Step 3: Cross multiply
    12,386,474x = 17,115,855 × 17,115,855
  4. Step 4: Simplify right side
    12,386,474x = 292,952,492,381,025
  5. Step 5: Solve for x
    x = 292,952,492,381,025/12,386,474
  6. Step 6: Final answer
    x = 23,650,999.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.