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Finding the Third Proportional to 287,721 and 451,341

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Solution

The third proportional to 287,721 and 451,341 is: 708,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,721 : 451,341 = 451,341 : x
  2. Step 2: Convert to fraction form
    287,721/451,341 = 451,341/x
  3. Step 3: Cross multiply
    287,721x = 451,341 × 451,341
  4. Step 4: Simplify right side
    287,721x = 203,708,698,281
  5. Step 5: Solve for x
    x = 203,708,698,281/287,721
  6. Step 6: Final answer
    x = 708,007.75

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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.