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Finding the Third Proportional to 378,306 and 830,322

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Solution

The third proportional to 378,306 and 830,322 is: 1,822,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,306 : 830,322 = 830,322 : x
  2. Step 2: Convert to fraction form
    378,306/830,322 = 830,322/x
  3. Step 3: Cross multiply
    378,306x = 830,322 × 830,322
  4. Step 4: Simplify right side
    378,306x = 689,434,623,684
  5. Step 5: Solve for x
    x = 689,434,623,684/378,306
  6. Step 6: Final answer
    x = 1,822,425.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.