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Finding the Third Proportional to 287,821.13 and 431,764.88

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Solution

The third proportional to 287,821.13 and 431,764.88 is: 647,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,821.13 : 431,764.88 = 431,764.88 : x
  2. Step 2: Convert to fraction form
    287,821.13/431,764.88 = 431,764.88/x
  3. Step 3: Cross multiply
    287,821.13x = 431,764.88 × 431,764.88
  4. Step 4: Simplify right side
    287,821.13x = 186,420,907,283.77
  5. Step 5: Solve for x
    x = 186,420,907,283.77/287,821.13
  6. Step 6: Final answer
    x = 647,697.10

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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.