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Finding the Third Proportional to 294,408 and 638,604

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Solution

The third proportional to 294,408 and 638,604 is: 1,385,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,408 : 638,604 = 638,604 : x
  2. Step 2: Convert to fraction form
    294,408/638,604 = 638,604/x
  3. Step 3: Cross multiply
    294,408x = 638,604 × 638,604
  4. Step 4: Simplify right side
    294,408x = 407,815,068,816
  5. Step 5: Solve for x
    x = 407,815,068,816/294,408
  6. Step 6: Final answer
    x = 1,385,203.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.