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Finding the Third Proportional to 289,921.50 and 588,001.50

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Solution

The third proportional to 289,921.50 and 588,001.50 is: 1,192,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,921.50 : 588,001.50 = 588,001.50 : x
  2. Step 2: Convert to fraction form
    289,921.50/588,001.50 = 588,001.50/x
  3. Step 3: Cross multiply
    289,921.50x = 588,001.50 × 588,001.50
  4. Step 4: Simplify right side
    289,921.50x = 345,745,764,002.25
  5. Step 5: Solve for x
    x = 345,745,764,002.25/289,921.50
  6. Step 6: Final answer
    x = 1,192,549.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.