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Finding the Third Proportional to 307,108.50 and 664,521

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Solution

The third proportional to 307,108.50 and 664,521 is: 1,437,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,108.50 : 664,521 = 664,521 : x
  2. Step 2: Convert to fraction form
    307,108.50/664,521 = 664,521/x
  3. Step 3: Cross multiply
    307,108.50x = 664,521 × 664,521
  4. Step 4: Simplify right side
    307,108.50x = 441,588,159,441
  5. Step 5: Solve for x
    x = 441,588,159,441/307,108.50
  6. Step 6: Final answer
    x = 1,437,889.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.