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Finding the Third Proportional to 280,840 and 364,332

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Solution

The third proportional to 280,840 and 364,332 is: 472,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,840 : 364,332 = 364,332 : x
  2. Step 2: Convert to fraction form
    280,840/364,332 = 364,332/x
  3. Step 3: Cross multiply
    280,840x = 364,332 × 364,332
  4. Step 4: Simplify right side
    280,840x = 132,737,806,224
  5. Step 5: Solve for x
    x = 132,737,806,224/280,840
  6. Step 6: Final answer
    x = 472,645.66

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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.