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Finding the Third Proportional to 142,987.46 and 308,137.29

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Solution

The third proportional to 142,987.46 and 308,137.29 is: 664,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,987.46 : 308,137.29 = 308,137.29 : x
  2. Step 2: Convert to fraction form
    142,987.46/308,137.29 = 308,137.29/x
  3. Step 3: Cross multiply
    142,987.46x = 308,137.29 × 308,137.29
  4. Step 4: Simplify right side
    142,987.46x = 94,948,588,910.79
  5. Step 5: Solve for x
    x = 94,948,588,910.79/142,987.46
  6. Step 6: Final answer
    x = 664,034.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.