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Finding the Third Proportional to 15,489 and 25,276.50

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Solution

The third proportional to 15,489 and 25,276.50 is: 41,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489 : 25,276.50 = 25,276.50 : x
  2. Step 2: Convert to fraction form
    15,489/25,276.50 = 25,276.50/x
  3. Step 3: Cross multiply
    15,489x = 25,276.50 × 25,276.50
  4. Step 4: Simplify right side
    15,489x = 638,901,452.25
  5. Step 5: Solve for x
    x = 638,901,452.25/15,489
  6. Step 6: Final answer
    x = 41,248.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.