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Finding the Third Proportional to 438,234.75 and 657,623.25

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Solution

The third proportional to 438,234.75 and 657,623.25 is: 986,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,234.75 : 657,623.25 = 657,623.25 : x
  2. Step 2: Convert to fraction form
    438,234.75/657,623.25 = 657,623.25/x
  3. Step 3: Cross multiply
    438,234.75x = 657,623.25 × 657,623.25
  4. Step 4: Simplify right side
    438,234.75x = 432,468,338,940.56
  5. Step 5: Solve for x
    x = 432,468,338,940.56/438,234.75
  6. Step 6: Final answer
    x = 986,841.73

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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.