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Finding the Third Proportional to 292,110 and 638,286

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Solution

The third proportional to 292,110 and 638,286 is: 1,394,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,110 : 638,286 = 638,286 : x
  2. Step 2: Convert to fraction form
    292,110/638,286 = 638,286/x
  3. Step 3: Cross multiply
    292,110x = 638,286 × 638,286
  4. Step 4: Simplify right side
    292,110x = 407,409,017,796
  5. Step 5: Solve for x
    x = 407,409,017,796/292,110
  6. Step 6: Final answer
    x = 1,394,710.96

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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.