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Finding the Third Proportional to 321,228 and 499,644

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Solution

The third proportional to 321,228 and 499,644 is: 777,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,228 : 499,644 = 499,644 : x
  2. Step 2: Convert to fraction form
    321,228/499,644 = 499,644/x
  3. Step 3: Cross multiply
    321,228x = 499,644 × 499,644
  4. Step 4: Simplify right side
    321,228x = 249,644,126,736
  5. Step 5: Solve for x
    x = 249,644,126,736/321,228
  6. Step 6: Final answer
    x = 777,155.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.