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Finding the Third Proportional to 63,161 and 138,209

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Solution

The third proportional to 63,161 and 138,209 is: 302,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,161 : 138,209 = 138,209 : x
  2. Step 2: Convert to fraction form
    63,161/138,209 = 138,209/x
  3. Step 3: Cross multiply
    63,161x = 138,209 × 138,209
  4. Step 4: Simplify right side
    63,161x = 19,101,727,681
  5. Step 5: Solve for x
    x = 19,101,727,681/63,161
  6. Step 6: Final answer
    x = 302,429.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.