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Finding the Third Proportional to 387,204 and 830,458

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Solution

The third proportional to 387,204 and 830,458 is: 1,781,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,204 : 830,458 = 830,458 : x
  2. Step 2: Convert to fraction form
    387,204/830,458 = 830,458/x
  3. Step 3: Cross multiply
    387,204x = 830,458 × 830,458
  4. Step 4: Simplify right side
    387,204x = 689,660,489,764
  5. Step 5: Solve for x
    x = 689,660,489,764/387,204
  6. Step 6: Final answer
    x = 1,781,129.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.