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Finding the Third Proportional to 7,748 and 8,972

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Solution

The third proportional to 7,748 and 8,972 is: 10,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 8,972 = 8,972 : x
  2. Step 2: Convert to fraction form
    7,748/8,972 = 8,972/x
  3. Step 3: Cross multiply
    7,748x = 8,972 × 8,972
  4. Step 4: Simplify right side
    7,748x = 80,496,784
  5. Step 5: Solve for x
    x = 80,496,784/7,748
  6. Step 6: Final answer
    x = 10,389.36

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.