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Finding the Third Proportional to 120,744,478 and 188,291,135

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Solution

The third proportional to 120,744,478 and 188,291,135 is: 293,624,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,478 : 188,291,135 = 188,291,135 : x
  2. Step 2: Convert to fraction form
    120,744,478/188,291,135 = 188,291,135/x
  3. Step 3: Cross multiply
    120,744,478x = 188,291,135 × 188,291,135
  4. Step 4: Simplify right side
    120,744,478x = 35,453,551,519,588,224
  5. Step 5: Solve for x
    x = 35,453,551,519,588,224/120,744,478
  6. Step 6: Final answer
    x = 293,624,620.41

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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.