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Finding the Third Proportional to 220,459 and 329,829

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Solution

The third proportional to 220,459 and 329,829 is: 493,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,459 : 329,829 = 329,829 : x
  2. Step 2: Convert to fraction form
    220,459/329,829 = 329,829/x
  3. Step 3: Cross multiply
    220,459x = 329,829 × 329,829
  4. Step 4: Simplify right side
    220,459x = 108,787,169,241
  5. Step 5: Solve for x
    x = 108,787,169,241/220,459
  6. Step 6: Final answer
    x = 493,457.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.