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Finding the Third Proportional to 15,306 and 21,915

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Solution

The third proportional to 15,306 and 21,915 is: 31,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306 : 21,915 = 21,915 : x
  2. Step 2: Convert to fraction form
    15,306/21,915 = 21,915/x
  3. Step 3: Cross multiply
    15,306x = 21,915 × 21,915
  4. Step 4: Simplify right side
    15,306x = 480,267,225
  5. Step 5: Solve for x
    x = 480,267,225/15,306
  6. Step 6: Final answer
    x = 31,377.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.