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Finding the Third Proportional to 280,463 and 608,248

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Solution

The third proportional to 280,463 and 608,248 is: 1,319,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463 : 608,248 = 608,248 : x
  2. Step 2: Convert to fraction form
    280,463/608,248 = 608,248/x
  3. Step 3: Cross multiply
    280,463x = 608,248 × 608,248
  4. Step 4: Simplify right side
    280,463x = 369,965,629,504
  5. Step 5: Solve for x
    x = 369,965,629,504/280,463
  6. Step 6: Final answer
    x = 1,319,124.55

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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.