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Finding the Third Proportional to 291,691 and 633,176

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Solution

The third proportional to 291,691 and 633,176 is: 1,374,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,691 : 633,176 = 633,176 : x
  2. Step 2: Convert to fraction form
    291,691/633,176 = 633,176/x
  3. Step 3: Cross multiply
    291,691x = 633,176 × 633,176
  4. Step 4: Simplify right side
    291,691x = 400,911,846,976
  5. Step 5: Solve for x
    x = 400,911,846,976/291,691
  6. Step 6: Final answer
    x = 1,374,440.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.