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Finding the Third Proportional to 136,463,268 and 195,143,820.75

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Solution

The third proportional to 136,463,268 and 195,143,820.75 is: 279,057,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,463,268 : 195,143,820.75 = 195,143,820.75 : x
  2. Step 2: Convert to fraction form
    136,463,268/195,143,820.75 = 195,143,820.75/x
  3. Step 3: Cross multiply
    136,463,268x = 195,143,820.75 × 195,143,820.75
  4. Step 4: Simplify right side
    136,463,268x = 38,081,110,776,908,128
  5. Step 5: Solve for x
    x = 38,081,110,776,908,128/136,463,268
  6. Step 6: Final answer
    x = 279,057,590.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.