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Finding the Third Proportional to 291,630 and 638,124

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Solution

The third proportional to 291,630 and 638,124 is: 1,396,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,630 : 638,124 = 638,124 : x
  2. Step 2: Convert to fraction form
    291,630/638,124 = 638,124/x
  3. Step 3: Cross multiply
    291,630x = 638,124 × 638,124
  4. Step 4: Simplify right side
    291,630x = 407,202,239,376
  5. Step 5: Solve for x
    x = 407,202,239,376/291,630
  6. Step 6: Final answer
    x = 1,396,297.50

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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.