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Finding the Third Proportional to 82,392 and 170,620

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Solution

The third proportional to 82,392 and 170,620 is: 353,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,392 : 170,620 = 170,620 : x
  2. Step 2: Convert to fraction form
    82,392/170,620 = 170,620/x
  3. Step 3: Cross multiply
    82,392x = 170,620 × 170,620
  4. Step 4: Simplify right side
    82,392x = 29,111,184,400
  5. Step 5: Solve for x
    x = 29,111,184,400/82,392
  6. Step 6: Final answer
    x = 353,325.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.