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Finding the Third Proportional to 203,488 and 299,347

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Solution

The third proportional to 203,488 and 299,347 is: 440,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488 : 299,347 = 299,347 : x
  2. Step 2: Convert to fraction form
    203,488/299,347 = 299,347/x
  3. Step 3: Cross multiply
    203,488x = 299,347 × 299,347
  4. Step 4: Simplify right side
    203,488x = 89,608,626,409
  5. Step 5: Solve for x
    x = 89,608,626,409/203,488
  6. Step 6: Final answer
    x = 440,363.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.