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Finding the Third Proportional to 280,448 and 608,214

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Solution

The third proportional to 280,448 and 608,214 is: 1,319,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,448 : 608,214 = 608,214 : x
  2. Step 2: Convert to fraction form
    280,448/608,214 = 608,214/x
  3. Step 3: Cross multiply
    280,448x = 608,214 × 608,214
  4. Step 4: Simplify right side
    280,448x = 369,924,269,796
  5. Step 5: Solve for x
    x = 369,924,269,796/280,448
  6. Step 6: Final answer
    x = 1,319,047.63

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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.