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Finding the Third Proportional to 431,466.75 and 668,690.44

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Solution

The third proportional to 431,466.75 and 668,690.44 is: 1,036,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,466.75 : 668,690.44 = 668,690.44 : x
  2. Step 2: Convert to fraction form
    431,466.75/668,690.44 = 668,690.44/x
  3. Step 3: Cross multiply
    431,466.75x = 668,690.44 × 668,690.44
  4. Step 4: Simplify right side
    431,466.75x = 447,146,901,203.94
  5. Step 5: Solve for x
    x = 447,146,901,203.94/431,466.75
  6. Step 6: Final answer
    x = 1,036,341.51

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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.