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Finding the Third Proportional to 159,979.50 and 343,287

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Solution

The third proportional to 159,979.50 and 343,287 is: 736,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,979.50 : 343,287 = 343,287 : x
  2. Step 2: Convert to fraction form
    159,979.50/343,287 = 343,287/x
  3. Step 3: Cross multiply
    159,979.50x = 343,287 × 343,287
  4. Step 4: Simplify right side
    159,979.50x = 117,845,964,369
  5. Step 5: Solve for x
    x = 117,845,964,369/159,979.50
  6. Step 6: Final answer
    x = 736,631.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.