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Finding the Third Proportional to 133,713 and 291,415

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Solution

The third proportional to 133,713 and 291,415 is: 635,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,713 : 291,415 = 291,415 : x
  2. Step 2: Convert to fraction form
    133,713/291,415 = 291,415/x
  3. Step 3: Cross multiply
    133,713x = 291,415 × 291,415
  4. Step 4: Simplify right side
    133,713x = 84,922,702,225
  5. Step 5: Solve for x
    x = 84,922,702,225/133,713
  6. Step 6: Final answer
    x = 635,111.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.