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Finding the Third Proportional to 224,109 and 482,202

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Solution

The third proportional to 224,109 and 482,202 is: 1,037,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,109 : 482,202 = 482,202 : x
  2. Step 2: Convert to fraction form
    224,109/482,202 = 482,202/x
  3. Step 3: Cross multiply
    224,109x = 482,202 × 482,202
  4. Step 4: Simplify right side
    224,109x = 232,518,768,804
  5. Step 5: Solve for x
    x = 232,518,768,804/224,109
  6. Step 6: Final answer
    x = 1,037,525.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.