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Finding the Third Proportional to 287,658 and 431,304.75

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Solution

The third proportional to 287,658 and 431,304.75 is: 646,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658 : 431,304.75 = 431,304.75 : x
  2. Step 2: Convert to fraction form
    287,658/431,304.75 = 431,304.75/x
  3. Step 3: Cross multiply
    287,658x = 431,304.75 × 431,304.75
  4. Step 4: Simplify right side
    287,658x = 186,023,787,372.56
  5. Step 5: Solve for x
    x = 186,023,787,372.56/287,658
  6. Step 6: Final answer
    x = 646,683.87

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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.