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Finding the Third Proportional to 121,681.50 and 282,699.75

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Solution

The third proportional to 121,681.50 and 282,699.75 is: 656,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,681.50 : 282,699.75 = 282,699.75 : x
  2. Step 2: Convert to fraction form
    121,681.50/282,699.75 = 282,699.75/x
  3. Step 3: Cross multiply
    121,681.50x = 282,699.75 × 282,699.75
  4. Step 4: Simplify right side
    121,681.50x = 79,919,148,650.06
  5. Step 5: Solve for x
    x = 79,919,148,650.06/121,681.50
  6. Step 6: Final answer
    x = 656,789.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.