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Finding the Third Proportional to 181,431 and 389,106

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Solution

The third proportional to 181,431 and 389,106 is: 834,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,431 : 389,106 = 389,106 : x
  2. Step 2: Convert to fraction form
    181,431/389,106 = 389,106/x
  3. Step 3: Cross multiply
    181,431x = 389,106 × 389,106
  4. Step 4: Simplify right side
    181,431x = 151,403,479,236
  5. Step 5: Solve for x
    x = 151,403,479,236/181,431
  6. Step 6: Final answer
    x = 834,496.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.