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Finding the Third Proportional to 138,226 and 291,209

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Solution

The third proportional to 138,226 and 291,209 is: 613,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,226 : 291,209 = 291,209 : x
  2. Step 2: Convert to fraction form
    138,226/291,209 = 291,209/x
  3. Step 3: Cross multiply
    138,226x = 291,209 × 291,209
  4. Step 4: Simplify right side
    138,226x = 84,802,681,681
  5. Step 5: Solve for x
    x = 84,802,681,681/138,226
  6. Step 6: Final answer
    x = 613,507.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.