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Finding the Third Proportional to 79,386 and 171,235

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Solution

The third proportional to 79,386 and 171,235 is: 369,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,386 : 171,235 = 171,235 : x
  2. Step 2: Convert to fraction form
    79,386/171,235 = 171,235/x
  3. Step 3: Cross multiply
    79,386x = 171,235 × 171,235
  4. Step 4: Simplify right side
    79,386x = 29,321,425,225
  5. Step 5: Solve for x
    x = 29,321,425,225/79,386
  6. Step 6: Final answer
    x = 369,352.60

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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.