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Finding the Third Proportional to 287,844 and 431,802

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Solution

The third proportional to 287,844 and 431,802 is: 647,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,844 : 431,802 = 431,802 : x
  2. Step 2: Convert to fraction form
    287,844/431,802 = 431,802/x
  3. Step 3: Cross multiply
    287,844x = 431,802 × 431,802
  4. Step 4: Simplify right side
    287,844x = 186,452,967,204
  5. Step 5: Solve for x
    x = 186,452,967,204/287,844
  6. Step 6: Final answer
    x = 647,757.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.