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Finding the Third Proportional to 78,242.06 and 168,631.88

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Solution

The third proportional to 78,242.06 and 168,631.88 is: 363,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.06 : 168,631.88 = 168,631.88 : x
  2. Step 2: Convert to fraction form
    78,242.06/168,631.88 = 168,631.88/x
  3. Step 3: Cross multiply
    78,242.06x = 168,631.88 × 168,631.88
  4. Step 4: Simplify right side
    78,242.06x = 28,436,709,266.02
  5. Step 5: Solve for x
    x = 28,436,709,266.02/78,242.06
  6. Step 6: Final answer
    x = 363,445.29

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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.