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Finding the Third Proportional to 153,873 and 232,879.50

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Solution

The third proportional to 153,873 and 232,879.50 is: 352,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,873 : 232,879.50 = 232,879.50 : x
  2. Step 2: Convert to fraction form
    153,873/232,879.50 = 232,879.50/x
  3. Step 3: Cross multiply
    153,873x = 232,879.50 × 232,879.50
  4. Step 4: Simplify right side
    153,873x = 54,232,861,520.25
  5. Step 5: Solve for x
    x = 54,232,861,520.25/153,873
  6. Step 6: Final answer
    x = 352,452.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.