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Finding the Third Proportional to 287,838 and 431,793

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Solution

The third proportional to 287,838 and 431,793 is: 647,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,838 : 431,793 = 431,793 : x
  2. Step 2: Convert to fraction form
    287,838/431,793 = 431,793/x
  3. Step 3: Cross multiply
    287,838x = 431,793 × 431,793
  4. Step 4: Simplify right side
    287,838x = 186,445,194,849
  5. Step 5: Solve for x
    x = 186,445,194,849/287,838
  6. Step 6: Final answer
    x = 647,743.50

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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.