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Finding the Third Proportional to 121,829.06 and 188,276.91

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Solution

The third proportional to 121,829.06 and 188,276.91 is: 290,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,829.06 : 188,276.91 = 188,276.91 : x
  2. Step 2: Convert to fraction form
    121,829.06/188,276.91 = 188,276.91/x
  3. Step 3: Cross multiply
    121,829.06x = 188,276.91 × 188,276.91
  4. Step 4: Simplify right side
    121,829.06x = 35,448,193,427.07
  5. Step 5: Solve for x
    x = 35,448,193,427.07/121,829.06
  6. Step 6: Final answer
    x = 290,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.