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Finding the Third Proportional to 291,228 and 441,352

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Solution

The third proportional to 291,228 and 441,352 is: 668,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,228 : 441,352 = 441,352 : x
  2. Step 2: Convert to fraction form
    291,228/441,352 = 441,352/x
  3. Step 3: Cross multiply
    291,228x = 441,352 × 441,352
  4. Step 4: Simplify right side
    291,228x = 194,791,587,904
  5. Step 5: Solve for x
    x = 194,791,587,904/291,228
  6. Step 6: Final answer
    x = 668,862.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.