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Finding the Third Proportional to 232,497 and 350,455.50

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Solution

The third proportional to 232,497 and 350,455.50 is: 528,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,497 : 350,455.50 = 350,455.50 : x
  2. Step 2: Convert to fraction form
    232,497/350,455.50 = 350,455.50/x
  3. Step 3: Cross multiply
    232,497x = 350,455.50 × 350,455.50
  4. Step 4: Simplify right side
    232,497x = 122,819,057,480.25
  5. Step 5: Solve for x
    x = 122,819,057,480.25/232,497
  6. Step 6: Final answer
    x = 528,260.83

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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.