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Finding the Third Proportional to 397,359 and 858,360

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Solution

The third proportional to 397,359 and 858,360 is: 1,854,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,359 : 858,360 = 858,360 : x
  2. Step 2: Convert to fraction form
    397,359/858,360 = 858,360/x
  3. Step 3: Cross multiply
    397,359x = 858,360 × 858,360
  4. Step 4: Simplify right side
    397,359x = 736,781,889,600
  5. Step 5: Solve for x
    x = 736,781,889,600/397,359
  6. Step 6: Final answer
    x = 1,854,197.06

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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.