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Finding the Third Proportional to 10,591 and 15,578

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Solution

The third proportional to 10,591 and 15,578 is: 22,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591 : 15,578 = 15,578 : x
  2. Step 2: Convert to fraction form
    10,591/15,578 = 15,578/x
  3. Step 3: Cross multiply
    10,591x = 15,578 × 15,578
  4. Step 4: Simplify right side
    10,591x = 242,674,084
  5. Step 5: Solve for x
    x = 242,674,084/10,591
  6. Step 6: Final answer
    x = 22,913.24

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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.