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Finding the Third Proportional to 78,524 and 170,172

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Solution

The third proportional to 78,524 and 170,172 is: 368,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,524 : 170,172 = 170,172 : x
  2. Step 2: Convert to fraction form
    78,524/170,172 = 170,172/x
  3. Step 3: Cross multiply
    78,524x = 170,172 × 170,172
  4. Step 4: Simplify right side
    78,524x = 28,958,509,584
  5. Step 5: Solve for x
    x = 28,958,509,584/78,524
  6. Step 6: Final answer
    x = 368,785.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.