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Finding the Third Proportional to 10,289 and 15,578

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Solution

The third proportional to 10,289 and 15,578 is: 23,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 15,578 = 15,578 : x
  2. Step 2: Convert to fraction form
    10,289/15,578 = 15,578/x
  3. Step 3: Cross multiply
    10,289x = 15,578 × 15,578
  4. Step 4: Simplify right side
    10,289x = 242,674,084
  5. Step 5: Solve for x
    x = 242,674,084/10,289
  6. Step 6: Final answer
    x = 23,585.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.