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Finding the Third Proportional to 25,688 and 38,358.75

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Solution

The third proportional to 25,688 and 38,358.75 is: 57,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688 : 38,358.75 = 38,358.75 : x
  2. Step 2: Convert to fraction form
    25,688/38,358.75 = 38,358.75/x
  3. Step 3: Cross multiply
    25,688x = 38,358.75 × 38,358.75
  4. Step 4: Simplify right side
    25,688x = 1,471,393,701.56
  5. Step 5: Solve for x
    x = 1,471,393,701.56/25,688
  6. Step 6: Final answer
    x = 57,279.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.