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Finding the Third Proportional to 13,715,000 and 18,680,470

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Solution

The third proportional to 13,715,000 and 18,680,470 is: 25,443,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715,000 : 18,680,470 = 18,680,470 : x
  2. Step 2: Convert to fraction form
    13,715,000/18,680,470 = 18,680,470/x
  3. Step 3: Cross multiply
    13,715,000x = 18,680,470 × 18,680,470
  4. Step 4: Simplify right side
    13,715,000x = 348,959,959,420,900
  5. Step 5: Solve for x
    x = 348,959,959,420,900/13,715,000
  6. Step 6: Final answer
    x = 25,443,671.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.