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Finding the Third Proportional to 224,638 and 488,639

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Solution

The third proportional to 224,638 and 488,639 is: 1,062,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,638 : 488,639 = 488,639 : x
  2. Step 2: Convert to fraction form
    224,638/488,639 = 488,639/x
  3. Step 3: Cross multiply
    224,638x = 488,639 × 488,639
  4. Step 4: Simplify right side
    224,638x = 238,768,072,321
  5. Step 5: Solve for x
    x = 238,768,072,321/224,638
  6. Step 6: Final answer
    x = 1,062,901.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.