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Finding the Third Proportional to 7,781,678 and 12,431,398

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Solution

The third proportional to 7,781,678 and 12,431,398 is: 19,859,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781,678 : 12,431,398 = 12,431,398 : x
  2. Step 2: Convert to fraction form
    7,781,678/12,431,398 = 12,431,398/x
  3. Step 3: Cross multiply
    7,781,678x = 12,431,398 × 12,431,398
  4. Step 4: Simplify right side
    7,781,678x = 154,539,656,234,404
  5. Step 5: Solve for x
    x = 154,539,656,234,404/7,781,678
  6. Step 6: Final answer
    x = 19,859,425.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.