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Finding the Third Proportional to 393,680,100 and 919,814,346

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Solution

The third proportional to 393,680,100 and 919,814,346 is: 2,149,101,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,680,100 : 919,814,346 = 919,814,346 : x
  2. Step 2: Convert to fraction form
    393,680,100/919,814,346 = 919,814,346/x
  3. Step 3: Cross multiply
    393,680,100x = 919,814,346 × 919,814,346
  4. Step 4: Simplify right side
    393,680,100x = 846,058,431,107,407,744
  5. Step 5: Solve for x
    x = 846,058,431,107,407,744/393,680,100
  6. Step 6: Final answer
    x = 2,149,101,341.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.