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Finding the Third Proportional to 431,667 and 639,117

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Solution

The third proportional to 431,667 and 639,117 is: 946,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,667 : 639,117 = 639,117 : x
  2. Step 2: Convert to fraction form
    431,667/639,117 = 639,117/x
  3. Step 3: Cross multiply
    431,667x = 639,117 × 639,117
  4. Step 4: Simplify right side
    431,667x = 408,470,539,689
  5. Step 5: Solve for x
    x = 408,470,539,689/431,667
  6. Step 6: Final answer
    x = 946,263.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.