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Finding the Third Proportional to 78,335.23 and 117,676.55

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Solution

The third proportional to 78,335.23 and 117,676.55 is: 176,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335.23 : 117,676.55 = 117,676.55 : x
  2. Step 2: Convert to fraction form
    78,335.23/117,676.55 = 117,676.55/x
  3. Step 3: Cross multiply
    78,335.23x = 117,676.55 × 117,676.55
  4. Step 4: Simplify right side
    78,335.23x = 13,847,769,684.42
  5. Step 5: Solve for x
    x = 13,847,769,684.42/78,335.23
  6. Step 6: Final answer
    x = 176,775.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.