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Finding the Third Proportional to 78,188.45 and 170,714.03

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Solution

The third proportional to 78,188.45 and 170,714.03 is: 372,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188.45 : 170,714.03 = 170,714.03 : x
  2. Step 2: Convert to fraction form
    78,188.45/170,714.03 = 170,714.03/x
  3. Step 3: Cross multiply
    78,188.45x = 170,714.03 × 170,714.03
  4. Step 4: Simplify right side
    78,188.45x = 29,143,278,631.79
  5. Step 5: Solve for x
    x = 29,143,278,631.79/78,188.45
  6. Step 6: Final answer
    x = 372,731.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.