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Finding the Third Proportional to 207,289 and 439,488

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Solution

The third proportional to 207,289 and 439,488 is: 931,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,289 : 439,488 = 439,488 : x
  2. Step 2: Convert to fraction form
    207,289/439,488 = 439,488/x
  3. Step 3: Cross multiply
    207,289x = 439,488 × 439,488
  4. Step 4: Simplify right side
    207,289x = 193,149,702,144
  5. Step 5: Solve for x
    x = 193,149,702,144/207,289
  6. Step 6: Final answer
    x = 931,789.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.