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Finding the Third Proportional to 121,662,398.25 and 188,504,840.25

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Solution

The third proportional to 121,662,398.25 and 188,504,840.25 is: 292,071,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,662,398.25 : 188,504,840.25 = 188,504,840.25 : x
  2. Step 2: Convert to fraction form
    121,662,398.25/188,504,840.25 = 188,504,840.25/x
  3. Step 3: Cross multiply
    121,662,398.25x = 188,504,840.25 × 188,504,840.25
  4. Step 4: Simplify right side
    121,662,398.25x = 35,534,074,797,678,020
  5. Step 5: Solve for x
    x = 35,534,074,797,678,020/121,662,398.25
  6. Step 6: Final answer
    x = 292,071,135.44

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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.