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Finding the Third Proportional to 66,620.25 and 140,726.25

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Solution

The third proportional to 66,620.25 and 140,726.25 is: 297,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,620.25 : 140,726.25 = 140,726.25 : x
  2. Step 2: Convert to fraction form
    66,620.25/140,726.25 = 140,726.25/x
  3. Step 3: Cross multiply
    66,620.25x = 140,726.25 × 140,726.25
  4. Step 4: Simplify right side
    66,620.25x = 19,803,877,439.06
  5. Step 5: Solve for x
    x = 19,803,877,439.06/66,620.25
  6. Step 6: Final answer
    x = 297,265.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.