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Finding the Third Proportional to 63,129.69 and 140,272.70

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Solution

The third proportional to 63,129.69 and 140,272.70 is: 311,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,129.69 : 140,272.70 = 140,272.70 : x
  2. Step 2: Convert to fraction form
    63,129.69/140,272.70 = 140,272.70/x
  3. Step 3: Cross multiply
    63,129.69x = 140,272.70 × 140,272.70
  4. Step 4: Simplify right side
    63,129.69x = 19,676,430,146.11
  5. Step 5: Solve for x
    x = 19,676,430,146.11/63,129.69
  6. Step 6: Final answer
    x = 311,682.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.