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Finding the Third Proportional to 287,718 and 431,582

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Solution

The third proportional to 287,718 and 431,582 is: 647,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,718 : 431,582 = 431,582 : x
  2. Step 2: Convert to fraction form
    287,718/431,582 = 431,582/x
  3. Step 3: Cross multiply
    287,718x = 431,582 × 431,582
  4. Step 4: Simplify right side
    287,718x = 186,263,022,724
  5. Step 5: Solve for x
    x = 186,263,022,724/287,718
  6. Step 6: Final answer
    x = 647,380.50

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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.