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Finding the Third Proportional to 66,336.47 and 140,160.38

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Solution

The third proportional to 66,336.47 and 140,160.38 is: 296,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,336.47 : 140,160.38 = 140,160.38 : x
  2. Step 2: Convert to fraction form
    66,336.47/140,160.38 = 140,160.38/x
  3. Step 3: Cross multiply
    66,336.47x = 140,160.38 × 140,160.38
  4. Step 4: Simplify right side
    66,336.47x = 19,644,930,720.14
  5. Step 5: Solve for x
    x = 19,644,930,720.14/66,336.47
  6. Step 6: Final answer
    x = 296,140.74

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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.