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Finding the Third Proportional to 397,782 and 858,631.50

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Solution

The third proportional to 397,782 and 858,631.50 is: 1,853,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,782 : 858,631.50 = 858,631.50 : x
  2. Step 2: Convert to fraction form
    397,782/858,631.50 = 858,631.50/x
  3. Step 3: Cross multiply
    397,782x = 858,631.50 × 858,631.50
  4. Step 4: Simplify right side
    397,782x = 737,248,052,792.25
  5. Step 5: Solve for x
    x = 737,248,052,792.25/397,782
  6. Step 6: Final answer
    x = 1,853,397.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.