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Finding the Third Proportional to 301,979.25 and 658,219.50

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Solution

The third proportional to 301,979.25 and 658,219.50 is: 1,434,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,979.25 : 658,219.50 = 658,219.50 : x
  2. Step 2: Convert to fraction form
    301,979.25/658,219.50 = 658,219.50/x
  3. Step 3: Cross multiply
    301,979.25x = 658,219.50 × 658,219.50
  4. Step 4: Simplify right side
    301,979.25x = 433,252,910,180.25
  5. Step 5: Solve for x
    x = 433,252,910,180.25/301,979.25
  6. Step 6: Final answer
    x = 1,434,710.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.