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Finding the Third Proportional to 315,259.50 and 442,371.75

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Solution

The third proportional to 315,259.50 and 442,371.75 is: 620,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,259.50 : 442,371.75 = 442,371.75 : x
  2. Step 2: Convert to fraction form
    315,259.50/442,371.75 = 442,371.75/x
  3. Step 3: Cross multiply
    315,259.50x = 442,371.75 × 442,371.75
  4. Step 4: Simplify right side
    315,259.50x = 195,692,765,198.06
  5. Step 5: Solve for x
    x = 195,692,765,198.06/315,259.50
  6. Step 6: Final answer
    x = 620,735.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.