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Finding the Third Proportional to 70,189.03 and 155,140.31

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Solution

The third proportional to 70,189.03 and 155,140.31 is: 342,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,189.03 : 155,140.31 = 155,140.31 : x
  2. Step 2: Convert to fraction form
    70,189.03/155,140.31 = 155,140.31/x
  3. Step 3: Cross multiply
    70,189.03x = 155,140.31 × 155,140.31
  4. Step 4: Simplify right side
    70,189.03x = 24,068,516,562.60
  5. Step 5: Solve for x
    x = 24,068,516,562.60/70,189.03
  6. Step 6: Final answer
    x = 342,909.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.