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Finding the Third Proportional to 342,855 and 522,987.75

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Solution

The third proportional to 342,855 and 522,987.75 is: 797,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,855 : 522,987.75 = 522,987.75 : x
  2. Step 2: Convert to fraction form
    342,855/522,987.75 = 522,987.75/x
  3. Step 3: Cross multiply
    342,855x = 522,987.75 × 522,987.75
  4. Step 4: Simplify right side
    342,855x = 273,516,186,650.06
  5. Step 5: Solve for x
    x = 273,516,186,650.06/342,855
  6. Step 6: Final answer
    x = 797,760.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.