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Finding the Third Proportional to 291,252 and 441,389

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Solution

The third proportional to 291,252 and 441,389 is: 668,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,252 : 441,389 = 441,389 : x
  2. Step 2: Convert to fraction form
    291,252/441,389 = 441,389/x
  3. Step 3: Cross multiply
    291,252x = 441,389 × 441,389
  4. Step 4: Simplify right side
    291,252x = 194,824,249,321
  5. Step 5: Solve for x
    x = 194,824,249,321/291,252
  6. Step 6: Final answer
    x = 668,919.87

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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.