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Finding the Third Proportional to 161,541 and 331,155

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Solution

The third proportional to 161,541 and 331,155 is: 678,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,541 : 331,155 = 331,155 : x
  2. Step 2: Convert to fraction form
    161,541/331,155 = 331,155/x
  3. Step 3: Cross multiply
    161,541x = 331,155 × 331,155
  4. Step 4: Simplify right side
    161,541x = 109,663,634,025
  5. Step 5: Solve for x
    x = 109,663,634,025/161,541
  6. Step 6: Final answer
    x = 678,859.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.