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Finding the Third Proportional to 198,269,880 and 431,814,576

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Solution

The third proportional to 198,269,880 and 431,814,576 is: 940,454,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,269,880 : 431,814,576 = 431,814,576 : x
  2. Step 2: Convert to fraction form
    198,269,880/431,814,576 = 431,814,576/x
  3. Step 3: Cross multiply
    198,269,880x = 431,814,576 × 431,814,576
  4. Step 4: Simplify right side
    198,269,880x = 186,463,828,046,059,776
  5. Step 5: Solve for x
    x = 186,463,828,046,059,776/198,269,880
  6. Step 6: Final answer
    x = 940,454,637.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.