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Finding the Third Proportional to 7,800 and 10,508

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Solution

The third proportional to 7,800 and 10,508 is: 14,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 10,508 = 10,508 : x
  2. Step 2: Convert to fraction form
    7,800/10,508 = 10,508/x
  3. Step 3: Cross multiply
    7,800x = 10,508 × 10,508
  4. Step 4: Simplify right side
    7,800x = 110,418,064
  5. Step 5: Solve for x
    x = 110,418,064/7,800
  6. Step 6: Final answer
    x = 14,156.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.