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Finding the Third Proportional to 279,602 and 608,356

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Solution

The third proportional to 279,602 and 608,356 is: 1,323,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,602 : 608,356 = 608,356 : x
  2. Step 2: Convert to fraction form
    279,602/608,356 = 608,356/x
  3. Step 3: Cross multiply
    279,602x = 608,356 × 608,356
  4. Step 4: Simplify right side
    279,602x = 370,097,022,736
  5. Step 5: Solve for x
    x = 370,097,022,736/279,602
  6. Step 6: Final answer
    x = 1,323,656.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.