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Finding the Third Proportional to 280,740 and 364,254

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Solution

The third proportional to 280,740 and 364,254 is: 472,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,740 : 364,254 = 364,254 : x
  2. Step 2: Convert to fraction form
    280,740/364,254 = 364,254/x
  3. Step 3: Cross multiply
    280,740x = 364,254 × 364,254
  4. Step 4: Simplify right side
    280,740x = 132,680,976,516
  5. Step 5: Solve for x
    x = 132,680,976,516/280,740
  6. Step 6: Final answer
    x = 472,611.59

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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.