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Finding the Third Proportional to 326,108.50 and 487,663

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Solution

The third proportional to 326,108.50 and 487,663 is: 729,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,108.50 : 487,663 = 487,663 : x
  2. Step 2: Convert to fraction form
    326,108.50/487,663 = 487,663/x
  3. Step 3: Cross multiply
    326,108.50x = 487,663 × 487,663
  4. Step 4: Simplify right side
    326,108.50x = 237,815,201,569
  5. Step 5: Solve for x
    x = 237,815,201,569/326,108.50
  6. Step 6: Final answer
    x = 729,251.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.