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Finding the Third Proportional to 120,743,840 and 188,290,216

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Solution

The third proportional to 120,743,840 and 188,290,216 is: 293,623,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,840 : 188,290,216 = 188,290,216 : x
  2. Step 2: Convert to fraction form
    120,743,840/188,290,216 = 188,290,216/x
  3. Step 3: Cross multiply
    120,743,840x = 188,290,216 × 188,290,216
  4. Step 4: Simplify right side
    120,743,840x = 35,453,205,441,326,656
  5. Step 5: Solve for x
    x = 35,453,205,441,326,656/120,743,840
  6. Step 6: Final answer
    x = 293,623,305.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.