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Finding the Third Proportional to 292,112 and 638,290

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Solution

The third proportional to 292,112 and 638,290 is: 1,394,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,112 : 638,290 = 638,290 : x
  2. Step 2: Convert to fraction form
    292,112/638,290 = 638,290/x
  3. Step 3: Cross multiply
    292,112x = 638,290 × 638,290
  4. Step 4: Simplify right side
    292,112x = 407,414,124,100
  5. Step 5: Solve for x
    x = 407,414,124,100/292,112
  6. Step 6: Final answer
    x = 1,394,718.89

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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.