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Finding the Third Proportional to 398,402 and 857,220

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Solution

The third proportional to 398,402 and 857,220 is: 1,844,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,402 : 857,220 = 857,220 : x
  2. Step 2: Convert to fraction form
    398,402/857,220 = 857,220/x
  3. Step 3: Cross multiply
    398,402x = 857,220 × 857,220
  4. Step 4: Simplify right side
    398,402x = 734,826,128,400
  5. Step 5: Solve for x
    x = 734,826,128,400/398,402
  6. Step 6: Final answer
    x = 1,844,433.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.