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Finding the Third Proportional to 78,403.50 and 167,872.50

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Solution

The third proportional to 78,403.50 and 167,872.50 is: 359,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,403.50 : 167,872.50 = 167,872.50 : x
  2. Step 2: Convert to fraction form
    78,403.50/167,872.50 = 167,872.50/x
  3. Step 3: Cross multiply
    78,403.50x = 167,872.50 × 167,872.50
  4. Step 4: Simplify right side
    78,403.50x = 28,181,176,256.25
  5. Step 5: Solve for x
    x = 28,181,176,256.25/78,403.50
  6. Step 6: Final answer
    x = 359,437.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.