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Finding the Third Proportional to 387,200 and 830,425

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Solution

The third proportional to 387,200 and 830,425 is: 1,781,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,200 : 830,425 = 830,425 : x
  2. Step 2: Convert to fraction form
    387,200/830,425 = 830,425/x
  3. Step 3: Cross multiply
    387,200x = 830,425 × 830,425
  4. Step 4: Simplify right side
    387,200x = 689,605,680,625
  5. Step 5: Solve for x
    x = 689,605,680,625/387,200
  6. Step 6: Final answer
    x = 1,781,006.41

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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.