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Finding the Third Proportional to 287,858.50 and 451,509

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Solution

The third proportional to 287,858.50 and 451,509 is: 708,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,858.50 : 451,509 = 451,509 : x
  2. Step 2: Convert to fraction form
    287,858.50/451,509 = 451,509/x
  3. Step 3: Cross multiply
    287,858.50x = 451,509 × 451,509
  4. Step 4: Simplify right side
    287,858.50x = 203,860,377,081
  5. Step 5: Solve for x
    x = 203,860,377,081/287,858.50
  6. Step 6: Final answer
    x = 708,196.48

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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.