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Finding the Third Proportional to 401,365.76 and 550,380.76

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Solution

The third proportional to 401,365.76 and 550,380.76 is: 754,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,365.76 : 550,380.76 = 550,380.76 : x
  2. Step 2: Convert to fraction form
    401,365.76/550,380.76 = 550,380.76/x
  3. Step 3: Cross multiply
    401,365.76x = 550,380.76 × 550,380.76
  4. Step 4: Simplify right side
    401,365.76x = 302,918,982,870.11
  5. Step 5: Solve for x
    x = 302,918,982,870.11/401,365.76
  6. Step 6: Final answer
    x = 754,720.54

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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.