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Finding the Third Proportional to 66,780 and 93,366

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Solution

The third proportional to 66,780 and 93,366 is: 130,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,780 : 93,366 = 93,366 : x
  2. Step 2: Convert to fraction form
    66,780/93,366 = 93,366/x
  3. Step 3: Cross multiply
    66,780x = 93,366 × 93,366
  4. Step 4: Simplify right side
    66,780x = 8,717,209,956
  5. Step 5: Solve for x
    x = 8,717,209,956/66,780
  6. Step 6: Final answer
    x = 130,536.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.