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Finding the Third Proportional to 138,216 and 291,191

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Solution

The third proportional to 138,216 and 291,191 is: 613,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,216 : 291,191 = 291,191 : x
  2. Step 2: Convert to fraction form
    138,216/291,191 = 291,191/x
  3. Step 3: Cross multiply
    138,216x = 291,191 × 291,191
  4. Step 4: Simplify right side
    138,216x = 84,792,198,481
  5. Step 5: Solve for x
    x = 84,792,198,481/138,216
  6. Step 6: Final answer
    x = 613,476.00

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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.