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Finding the Third Proportional to 120,743,820 and 188,290,180

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Solution

The third proportional to 120,743,820 and 188,290,180 is: 293,623,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,820 : 188,290,180 = 188,290,180 : x
  2. Step 2: Convert to fraction form
    120,743,820/188,290,180 = 188,290,180/x
  3. Step 3: Cross multiply
    120,743,820x = 188,290,180 × 188,290,180
  4. Step 4: Simplify right side
    120,743,820x = 35,453,191,884,432,400
  5. Step 5: Solve for x
    x = 35,453,191,884,432,400/120,743,820
  6. Step 6: Final answer
    x = 293,623,242.04

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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.