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Finding the Third Proportional to 200,154 and 439,674

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Solution

The third proportional to 200,154 and 439,674 is: 965,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,154 : 439,674 = 439,674 : x
  2. Step 2: Convert to fraction form
    200,154/439,674 = 439,674/x
  3. Step 3: Cross multiply
    200,154x = 439,674 × 439,674
  4. Step 4: Simplify right side
    200,154x = 193,313,226,276
  5. Step 5: Solve for x
    x = 193,313,226,276/200,154
  6. Step 6: Final answer
    x = 965,822.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.