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Finding the Third Proportional to 4,972 and 7,578

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Solution

The third proportional to 4,972 and 7,578 is: 11,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972 : 7,578 = 7,578 : x
  2. Step 2: Convert to fraction form
    4,972/7,578 = 7,578/x
  3. Step 3: Cross multiply
    4,972x = 7,578 × 7,578
  4. Step 4: Simplify right side
    4,972x = 57,426,084
  5. Step 5: Solve for x
    x = 57,426,084/4,972
  6. Step 6: Final answer
    x = 11,549.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.