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Finding the Third Proportional to 10,605 and 15,583

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Solution

The third proportional to 10,605 and 15,583 is: 22,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605 : 15,583 = 15,583 : x
  2. Step 2: Convert to fraction form
    10,605/15,583 = 15,583/x
  3. Step 3: Cross multiply
    10,605x = 15,583 × 15,583
  4. Step 4: Simplify right side
    10,605x = 242,829,889
  5. Step 5: Solve for x
    x = 242,829,889/10,605
  6. Step 6: Final answer
    x = 22,897.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.