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Finding the Third Proportional to 272,321 and 422,630

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Solution

The third proportional to 272,321 and 422,630 is: 655,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,321 : 422,630 = 422,630 : x
  2. Step 2: Convert to fraction form
    272,321/422,630 = 422,630/x
  3. Step 3: Cross multiply
    272,321x = 422,630 × 422,630
  4. Step 4: Simplify right side
    272,321x = 178,616,116,900
  5. Step 5: Solve for x
    x = 178,616,116,900/272,321
  6. Step 6: Final answer
    x = 655,902.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.