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Finding the Third Proportional to 192,461,520 and 278,073,720

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Solution

The third proportional to 192,461,520 and 278,073,720 is: 401,768,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,461,520 : 278,073,720 = 278,073,720 : x
  2. Step 2: Convert to fraction form
    192,461,520/278,073,720 = 278,073,720/x
  3. Step 3: Cross multiply
    192,461,520x = 278,073,720 × 278,073,720
  4. Step 4: Simplify right side
    192,461,520x = 77,324,993,754,638,400
  5. Step 5: Solve for x
    x = 77,324,993,754,638,400/192,461,520
  6. Step 6: Final answer
    x = 401,768,591.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.