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Finding the Third Proportional to 7,781,678 and 12,431,397

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Solution

The third proportional to 7,781,678 and 12,431,397 is: 19,859,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781,678 : 12,431,397 = 12,431,397 : x
  2. Step 2: Convert to fraction form
    7,781,678/12,431,397 = 12,431,397/x
  3. Step 3: Cross multiply
    7,781,678x = 12,431,397 × 12,431,397
  4. Step 4: Simplify right side
    7,781,678x = 154,539,631,371,609
  5. Step 5: Solve for x
    x = 154,539,631,371,609/7,781,678
  6. Step 6: Final answer
    x = 19,859,422.53

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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.