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Finding the Third Proportional to 72,311.34 and 155,735.16

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Solution

The third proportional to 72,311.34 and 155,735.16 is: 335,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,311.34 : 155,735.16 = 155,735.16 : x
  2. Step 2: Convert to fraction form
    72,311.34/155,735.16 = 155,735.16/x
  3. Step 3: Cross multiply
    72,311.34x = 155,735.16 × 155,735.16
  4. Step 4: Simplify right side
    72,311.34x = 24,253,438,892.21
  5. Step 5: Solve for x
    x = 24,253,438,892.21/72,311.34
  6. Step 6: Final answer
    x = 335,402.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.