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Finding the Third Proportional to 287,676.56 and 451,278.84

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Solution

The third proportional to 287,676.56 and 451,278.84 is: 707,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,676.56 : 451,278.84 = 451,278.84 : x
  2. Step 2: Convert to fraction form
    287,676.56/451,278.84 = 451,278.84/x
  3. Step 3: Cross multiply
    287,676.56x = 451,278.84 × 451,278.84
  4. Step 4: Simplify right side
    287,676.56x = 203,652,594,816.34
  5. Step 5: Solve for x
    x = 203,652,594,816.34/287,676.56
  6. Step 6: Final answer
    x = 707,922.10

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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.