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Finding the Third Proportional to 71,678.25 and 167,405.50

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Solution

The third proportional to 71,678.25 and 167,405.50 is: 390,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.25 : 167,405.50 = 167,405.50 : x
  2. Step 2: Convert to fraction form
    71,678.25/167,405.50 = 167,405.50/x
  3. Step 3: Cross multiply
    71,678.25x = 167,405.50 × 167,405.50
  4. Step 4: Simplify right side
    71,678.25x = 28,024,601,430.25
  5. Step 5: Solve for x
    x = 28,024,601,430.25/71,678.25
  6. Step 6: Final answer
    x = 390,977.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.