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Finding the Third Proportional to 401,422.50 and 550,438.50

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Solution

The third proportional to 401,422.50 and 550,438.50 is: 754,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,422.50 : 550,438.50 = 550,438.50 : x
  2. Step 2: Convert to fraction form
    401,422.50/550,438.50 = 550,438.50/x
  3. Step 3: Cross multiply
    401,422.50x = 550,438.50 × 550,438.50
  4. Step 4: Simplify right side
    401,422.50x = 302,982,542,282.25
  5. Step 5: Solve for x
    x = 302,982,542,282.25/401,422.50
  6. Step 6: Final answer
    x = 754,772.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.