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Finding the Third Proportional to 132,336 and 288,464

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Solution

The third proportional to 132,336 and 288,464 is: 628,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,336 : 288,464 = 288,464 : x
  2. Step 2: Convert to fraction form
    132,336/288,464 = 288,464/x
  3. Step 3: Cross multiply
    132,336x = 288,464 × 288,464
  4. Step 4: Simplify right side
    132,336x = 83,211,479,296
  5. Step 5: Solve for x
    x = 83,211,479,296/132,336
  6. Step 6: Final answer
    x = 628,789.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.