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Finding the Third Proportional to 121,699.13 and 265,815

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Solution

The third proportional to 121,699.13 and 265,815 is: 580,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,699.13 : 265,815 = 265,815 : x
  2. Step 2: Convert to fraction form
    121,699.13/265,815 = 265,815/x
  3. Step 3: Cross multiply
    121,699.13x = 265,815 × 265,815
  4. Step 4: Simplify right side
    121,699.13x = 70,657,614,225
  5. Step 5: Solve for x
    x = 70,657,614,225/121,699.13
  6. Step 6: Final answer
    x = 580,592.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.