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Finding the Third Proportional to 120,744,480 and 188,291,138

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Solution

The third proportional to 120,744,480 and 188,291,138 is: 293,624,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,480 : 188,291,138 = 188,291,138 : x
  2. Step 2: Convert to fraction form
    120,744,480/188,291,138 = 188,291,138/x
  3. Step 3: Cross multiply
    120,744,480x = 188,291,138 × 188,291,138
  4. Step 4: Simplify right side
    120,744,480x = 35,453,552,649,335,044
  5. Step 5: Solve for x
    x = 35,453,552,649,335,044/120,744,480
  6. Step 6: Final answer
    x = 293,624,624.90

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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.