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Finding the Third Proportional to 120,743,910 and 188,290,312.50

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Solution

The third proportional to 120,743,910 and 188,290,312.50 is: 293,623,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,910 : 188,290,312.50 = 188,290,312.50 : x
  2. Step 2: Convert to fraction form
    120,743,910/188,290,312.50 = 188,290,312.50/x
  3. Step 3: Cross multiply
    120,743,910x = 188,290,312.50 × 188,290,312.50
  4. Step 4: Simplify right side
    120,743,910x = 35,453,241,781,347,656
  5. Step 5: Solve for x
    x = 35,453,241,781,347,656/120,743,910
  6. Step 6: Final answer
    x = 293,623,436.42

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