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Finding the Third Proportional to 90,642 and 197,415

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Solution

The third proportional to 90,642 and 197,415 is: 429,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,642 : 197,415 = 197,415 : x
  2. Step 2: Convert to fraction form
    90,642/197,415 = 197,415/x
  3. Step 3: Cross multiply
    90,642x = 197,415 × 197,415
  4. Step 4: Simplify right side
    90,642x = 38,972,682,225
  5. Step 5: Solve for x
    x = 38,972,682,225/90,642
  6. Step 6: Final answer
    x = 429,962.73

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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.