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Finding the Third Proportional to 280,736 and 364,248

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Solution

The third proportional to 280,736 and 364,248 is: 472,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,736 : 364,248 = 364,248 : x
  2. Step 2: Convert to fraction form
    280,736/364,248 = 364,248/x
  3. Step 3: Cross multiply
    280,736x = 364,248 × 364,248
  4. Step 4: Simplify right side
    280,736x = 132,676,605,504
  5. Step 5: Solve for x
    x = 132,676,605,504/280,736
  6. Step 6: Final answer
    x = 472,602.75

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.