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Finding the Third Proportional to 139,000.50 and 299,439

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Solution

The third proportional to 139,000.50 and 299,439 is: 645,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,000.50 : 299,439 = 299,439 : x
  2. Step 2: Convert to fraction form
    139,000.50/299,439 = 299,439/x
  3. Step 3: Cross multiply
    139,000.50x = 299,439 × 299,439
  4. Step 4: Simplify right side
    139,000.50x = 89,663,714,721
  5. Step 5: Solve for x
    x = 89,663,714,721/139,000.50
  6. Step 6: Final answer
    x = 645,060.38

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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.