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Finding the Third Proportional to 19,652 and 42,415

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Solution

The third proportional to 19,652 and 42,415 is: 91,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652 : 42,415 = 42,415 : x
  2. Step 2: Convert to fraction form
    19,652/42,415 = 42,415/x
  3. Step 3: Cross multiply
    19,652x = 42,415 × 42,415
  4. Step 4: Simplify right side
    19,652x = 1,799,032,225
  5. Step 5: Solve for x
    x = 1,799,032,225/19,652
  6. Step 6: Final answer
    x = 91,544.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.