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Finding the Third Proportional to 401,367 and 550,386.75

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Solution

The third proportional to 401,367 and 550,386.75 is: 754,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,367 : 550,386.75 = 550,386.75 : x
  2. Step 2: Convert to fraction form
    401,367/550,386.75 = 550,386.75/x
  3. Step 3: Cross multiply
    401,367x = 550,386.75 × 550,386.75
  4. Step 4: Simplify right side
    401,367x = 302,925,574,575.56
  5. Step 5: Solve for x
    x = 302,925,574,575.56/401,367
  6. Step 6: Final answer
    x = 754,734.63

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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.