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Finding the Third Proportional to 232,260.75 and 344,074.50

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Solution

The third proportional to 232,260.75 and 344,074.50 is: 509,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,260.75 : 344,074.50 = 344,074.50 : x
  2. Step 2: Convert to fraction form
    232,260.75/344,074.50 = 344,074.50/x
  3. Step 3: Cross multiply
    232,260.75x = 344,074.50 × 344,074.50
  4. Step 4: Simplify right side
    232,260.75x = 118,387,261,550.25
  5. Step 5: Solve for x
    x = 118,387,261,550.25/232,260.75
  6. Step 6: Final answer
    x = 509,717.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.