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Finding the Third Proportional to 160,906.50 and 353,332.13

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Solution

The third proportional to 160,906.50 and 353,332.13 is: 775,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,906.50 : 353,332.13 = 353,332.13 : x
  2. Step 2: Convert to fraction form
    160,906.50/353,332.13 = 353,332.13/x
  3. Step 3: Cross multiply
    160,906.50x = 353,332.13 × 353,332.13
  4. Step 4: Simplify right side
    160,906.50x = 124,843,590,557.02
  5. Step 5: Solve for x
    x = 124,843,590,557.02/160,906.50
  6. Step 6: Final answer
    x = 775,876.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.