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Finding the Third Proportional to 126,351,810 and 191,082,915

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Solution

The third proportional to 126,351,810 and 191,082,915 is: 288,976,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,351,810 : 191,082,915 = 191,082,915 : x
  2. Step 2: Convert to fraction form
    126,351,810/191,082,915 = 191,082,915/x
  3. Step 3: Cross multiply
    126,351,810x = 191,082,915 × 191,082,915
  4. Step 4: Simplify right side
    126,351,810x = 36,512,680,404,897,224
  5. Step 5: Solve for x
    x = 36,512,680,404,897,224/126,351,810
  6. Step 6: Final answer
    x = 288,976,314.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.