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Finding the Third Proportional to 220,123 and 482,440

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Solution

The third proportional to 220,123 and 482,440 is: 1,057,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,123 : 482,440 = 482,440 : x
  2. Step 2: Convert to fraction form
    220,123/482,440 = 482,440/x
  3. Step 3: Cross multiply
    220,123x = 482,440 × 482,440
  4. Step 4: Simplify right side
    220,123x = 232,748,353,600
  5. Step 5: Solve for x
    x = 232,748,353,600/220,123
  6. Step 6: Final answer
    x = 1,057,355.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.