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Finding the Third Proportional to 7,920 and 12,359

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Solution

The third proportional to 7,920 and 12,359 is: 19,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 12,359 = 12,359 : x
  2. Step 2: Convert to fraction form
    7,920/12,359 = 12,359/x
  3. Step 3: Cross multiply
    7,920x = 12,359 × 12,359
  4. Step 4: Simplify right side
    7,920x = 152,744,881
  5. Step 5: Solve for x
    x = 152,744,881/7,920
  6. Step 6: Final answer
    x = 19,285.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.