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Finding the Third Proportional to 278,996 and 604,352

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Solution

The third proportional to 278,996 and 604,352 is: 1,309,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,996 : 604,352 = 604,352 : x
  2. Step 2: Convert to fraction form
    278,996/604,352 = 604,352/x
  3. Step 3: Cross multiply
    278,996x = 604,352 × 604,352
  4. Step 4: Simplify right side
    278,996x = 365,241,339,904
  5. Step 5: Solve for x
    x = 365,241,339,904/278,996
  6. Step 6: Final answer
    x = 1,309,127.51

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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.