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Finding the Third Proportional to 9,776 and 22,508

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Solution

The third proportional to 9,776 and 22,508 is: 51,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776 : 22,508 = 22,508 : x
  2. Step 2: Convert to fraction form
    9,776/22,508 = 22,508/x
  3. Step 3: Cross multiply
    9,776x = 22,508 × 22,508
  4. Step 4: Simplify right side
    9,776x = 506,610,064
  5. Step 5: Solve for x
    x = 506,610,064/9,776
  6. Step 6: Final answer
    x = 51,821.82

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.