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Finding the Third Proportional to 72,459.56 and 156,975.47

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Solution

The third proportional to 72,459.56 and 156,975.47 is: 340,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,459.56 : 156,975.47 = 156,975.47 : x
  2. Step 2: Convert to fraction form
    72,459.56/156,975.47 = 156,975.47/x
  3. Step 3: Cross multiply
    72,459.56x = 156,975.47 × 156,975.47
  4. Step 4: Simplify right side
    72,459.56x = 24,641,297,789.28
  5. Step 5: Solve for x
    x = 24,641,297,789.28/72,459.56
  6. Step 6: Final answer
    x = 340,069.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.