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Finding the Third Proportional to 57,645 and 125,415

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Solution

The third proportional to 57,645 and 125,415 is: 272,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645 : 125,415 = 125,415 : x
  2. Step 2: Convert to fraction form
    57,645/125,415 = 125,415/x
  3. Step 3: Cross multiply
    57,645x = 125,415 × 125,415
  4. Step 4: Simplify right side
    57,645x = 15,728,922,225
  5. Step 5: Solve for x
    x = 15,728,922,225/57,645
  6. Step 6: Final answer
    x = 272,858.40

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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.