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Finding the Third Proportional to 15,586 and 23,377

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Solution

The third proportional to 15,586 and 23,377 is: 35,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586 : 23,377 = 23,377 : x
  2. Step 2: Convert to fraction form
    15,586/23,377 = 23,377/x
  3. Step 3: Cross multiply
    15,586x = 23,377 × 23,377
  4. Step 4: Simplify right side
    15,586x = 546,484,129
  5. Step 5: Solve for x
    x = 546,484,129/15,586
  6. Step 6: Final answer
    x = 35,062.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.