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Finding the Third Proportional to 13,125 and 28,438

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Solution

The third proportional to 13,125 and 28,438 is: 61,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125 : 28,438 = 28,438 : x
  2. Step 2: Convert to fraction form
    13,125/28,438 = 28,438/x
  3. Step 3: Cross multiply
    13,125x = 28,438 × 28,438
  4. Step 4: Simplify right side
    13,125x = 808,719,844
  5. Step 5: Solve for x
    x = 808,719,844/13,125
  6. Step 6: Final answer
    x = 61,616.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.