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Finding the Third Proportional to 66,710.25 and 159,455.25

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Solution

The third proportional to 66,710.25 and 159,455.25 is: 381,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,710.25 : 159,455.25 = 159,455.25 : x
  2. Step 2: Convert to fraction form
    66,710.25/159,455.25 = 159,455.25/x
  3. Step 3: Cross multiply
    66,710.25x = 159,455.25 × 159,455.25
  4. Step 4: Simplify right side
    66,710.25x = 25,425,976,752.56
  5. Step 5: Solve for x
    x = 25,425,976,752.56/66,710.25
  6. Step 6: Final answer
    x = 381,140.48

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.