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Finding the Third Proportional to 287,821.50 and 431,766

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Solution

The third proportional to 287,821.50 and 431,766 is: 647,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,821.50 : 431,766 = 431,766 : x
  2. Step 2: Convert to fraction form
    287,821.50/431,766 = 431,766/x
  3. Step 3: Cross multiply
    287,821.50x = 431,766 × 431,766
  4. Step 4: Simplify right side
    287,821.50x = 186,421,878,756
  5. Step 5: Solve for x
    x = 186,421,878,756/287,821.50
  6. Step 6: Final answer
    x = 647,699.63

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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.