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Finding the Third Proportional to 287,726 and 451,349

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Solution

The third proportional to 287,726 and 451,349 is: 708,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,726 : 451,349 = 451,349 : x
  2. Step 2: Convert to fraction form
    287,726/451,349 = 451,349/x
  3. Step 3: Cross multiply
    287,726x = 451,349 × 451,349
  4. Step 4: Simplify right side
    287,726x = 203,715,919,801
  5. Step 5: Solve for x
    x = 203,715,919,801/287,726
  6. Step 6: Final answer
    x = 708,020.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.