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Finding the Third Proportional to 66,013.88 and 142,549.31

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Solution

The third proportional to 66,013.88 and 142,549.31 is: 307,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,013.88 : 142,549.31 = 142,549.31 : x
  2. Step 2: Convert to fraction form
    66,013.88/142,549.31 = 142,549.31/x
  3. Step 3: Cross multiply
    66,013.88x = 142,549.31 × 142,549.31
  4. Step 4: Simplify right side
    66,013.88x = 20,320,306,494.22
  5. Step 5: Solve for x
    x = 20,320,306,494.22/66,013.88
  6. Step 6: Final answer
    x = 307,818.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.