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Finding the Third Proportional to 187,415 and 267,108

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Solution

The third proportional to 187,415 and 267,108 is: 380,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,415 : 267,108 = 267,108 : x
  2. Step 2: Convert to fraction form
    187,415/267,108 = 267,108/x
  3. Step 3: Cross multiply
    187,415x = 267,108 × 267,108
  4. Step 4: Simplify right side
    187,415x = 71,346,683,664
  5. Step 5: Solve for x
    x = 71,346,683,664/187,415
  6. Step 6: Final answer
    x = 380,688.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.