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Finding the Third Proportional to 121,210.88 and 263,784.38

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Solution

The third proportional to 121,210.88 and 263,784.38 is: 574,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,210.88 : 263,784.38 = 263,784.38 : x
  2. Step 2: Convert to fraction form
    121,210.88/263,784.38 = 263,784.38/x
  3. Step 3: Cross multiply
    121,210.88x = 263,784.38 × 263,784.38
  4. Step 4: Simplify right side
    121,210.88x = 69,582,196,494.14
  5. Step 5: Solve for x
    x = 69,582,196,494.14/121,210.88
  6. Step 6: Final answer
    x = 574,059.02

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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.