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Finding the Third Proportional to 87,415 and 155,429

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Solution

The third proportional to 87,415 and 155,429 is: 276,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,415 : 155,429 = 155,429 : x
  2. Step 2: Convert to fraction form
    87,415/155,429 = 155,429/x
  3. Step 3: Cross multiply
    87,415x = 155,429 × 155,429
  4. Step 4: Simplify right side
    87,415x = 24,158,174,041
  5. Step 5: Solve for x
    x = 24,158,174,041/87,415
  6. Step 6: Final answer
    x = 276,361.88

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.