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Finding the Third Proportional to 431,473.50 and 668,704.50

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Solution

The third proportional to 431,473.50 and 668,704.50 is: 1,036,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,473.50 : 668,704.50 = 668,704.50 : x
  2. Step 2: Convert to fraction form
    431,473.50/668,704.50 = 668,704.50/x
  3. Step 3: Cross multiply
    431,473.50x = 668,704.50 × 668,704.50
  4. Step 4: Simplify right side
    431,473.50x = 447,165,708,320.25
  5. Step 5: Solve for x
    x = 447,165,708,320.25/431,473.50
  6. Step 6: Final answer
    x = 1,036,368.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.