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Finding the Third Proportional to 207,479.25 and 320,433.75

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Solution

The third proportional to 207,479.25 and 320,433.75 is: 494,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,479.25 : 320,433.75 = 320,433.75 : x
  2. Step 2: Convert to fraction form
    207,479.25/320,433.75 = 320,433.75/x
  3. Step 3: Cross multiply
    207,479.25x = 320,433.75 × 320,433.75
  4. Step 4: Simplify right side
    207,479.25x = 102,677,788,139.06
  5. Step 5: Solve for x
    x = 102,677,788,139.06/207,479.25
  6. Step 6: Final answer
    x = 494,882.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.