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Finding the Third Proportional to 42,918 and 91,415

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Solution

The third proportional to 42,918 and 91,415 is: 194,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,918 : 91,415 = 91,415 : x
  2. Step 2: Convert to fraction form
    42,918/91,415 = 91,415/x
  3. Step 3: Cross multiply
    42,918x = 91,415 × 91,415
  4. Step 4: Simplify right side
    42,918x = 8,356,702,225
  5. Step 5: Solve for x
    x = 8,356,702,225/42,918
  6. Step 6: Final answer
    x = 194,713.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.