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Finding the Third Proportional to 121,863 and 282,091.50

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Solution

The third proportional to 121,863 and 282,091.50 is: 652,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,863 : 282,091.50 = 282,091.50 : x
  2. Step 2: Convert to fraction form
    121,863/282,091.50 = 282,091.50/x
  3. Step 3: Cross multiply
    121,863x = 282,091.50 × 282,091.50
  4. Step 4: Simplify right side
    121,863x = 79,575,614,372.25
  5. Step 5: Solve for x
    x = 79,575,614,372.25/121,863
  6. Step 6: Final answer
    x = 652,992.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.