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Finding the Third Proportional to 321,228 and 470,322

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Solution

The third proportional to 321,228 and 470,322 is: 688,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,228 : 470,322 = 470,322 : x
  2. Step 2: Convert to fraction form
    321,228/470,322 = 470,322/x
  3. Step 3: Cross multiply
    321,228x = 470,322 × 470,322
  4. Step 4: Simplify right side
    321,228x = 221,202,783,684
  5. Step 5: Solve for x
    x = 221,202,783,684/321,228
  6. Step 6: Final answer
    x = 688,616.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.