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Finding the Third Proportional to 171,421.88 and 261,483.75

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Solution

The third proportional to 171,421.88 and 261,483.75 is: 398,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,421.88 : 261,483.75 = 261,483.75 : x
  2. Step 2: Convert to fraction form
    171,421.88/261,483.75 = 261,483.75/x
  3. Step 3: Cross multiply
    171,421.88x = 261,483.75 × 261,483.75
  4. Step 4: Simplify right side
    171,421.88x = 68,373,751,514.06
  5. Step 5: Solve for x
    x = 68,373,751,514.06/171,421.88
  6. Step 6: Final answer
    x = 398,862.46

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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.