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Finding the Third Proportional to 292,248 and 638,604

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Solution

The third proportional to 292,248 and 638,604 is: 1,395,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,248 : 638,604 = 638,604 : x
  2. Step 2: Convert to fraction form
    292,248/638,604 = 638,604/x
  3. Step 3: Cross multiply
    292,248x = 638,604 × 638,604
  4. Step 4: Simplify right side
    292,248x = 407,815,068,816
  5. Step 5: Solve for x
    x = 407,815,068,816/292,248
  6. Step 6: Final answer
    x = 1,395,441.78

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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.