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Finding the Third Proportional to 161,686 and 349,184

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Solution

The third proportional to 161,686 and 349,184 is: 754,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,686 : 349,184 = 349,184 : x
  2. Step 2: Convert to fraction form
    161,686/349,184 = 349,184/x
  3. Step 3: Cross multiply
    161,686x = 349,184 × 349,184
  4. Step 4: Simplify right side
    161,686x = 121,929,465,856
  5. Step 5: Solve for x
    x = 121,929,465,856/161,686
  6. Step 6: Final answer
    x = 754,112.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.