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Finding the Third Proportional to 54,201 and 83,415

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Solution

The third proportional to 54,201 and 83,415 is: 128,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,201 : 83,415 = 83,415 : x
  2. Step 2: Convert to fraction form
    54,201/83,415 = 83,415/x
  3. Step 3: Cross multiply
    54,201x = 83,415 × 83,415
  4. Step 4: Simplify right side
    54,201x = 6,958,062,225
  5. Step 5: Solve for x
    x = 6,958,062,225/54,201
  6. Step 6: Final answer
    x = 128,375.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.