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Finding the Third Proportional to 57,478 and 88,678

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Solution

The third proportional to 57,478 and 88,678 is: 136,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478 : 88,678 = 88,678 : x
  2. Step 2: Convert to fraction form
    57,478/88,678 = 88,678/x
  3. Step 3: Cross multiply
    57,478x = 88,678 × 88,678
  4. Step 4: Simplify right side
    57,478x = 7,863,787,684
  5. Step 5: Solve for x
    x = 7,863,787,684/57,478
  6. Step 6: Final answer
    x = 136,813.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.