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Finding the Third Proportional to 66,782 and 136,038

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Solution

The third proportional to 66,782 and 136,038 is: 277,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782 : 136,038 = 136,038 : x
  2. Step 2: Convert to fraction form
    66,782/136,038 = 136,038/x
  3. Step 3: Cross multiply
    66,782x = 136,038 × 136,038
  4. Step 4: Simplify right side
    66,782x = 18,506,337,444
  5. Step 5: Solve for x
    x = 18,506,337,444/66,782
  6. Step 6: Final answer
    x = 277,115.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.