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Finding the Third Proportional to 38,643 and 82,390

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Solution

The third proportional to 38,643 and 82,390 is: 175,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643 : 82,390 = 82,390 : x
  2. Step 2: Convert to fraction form
    38,643/82,390 = 82,390/x
  3. Step 3: Cross multiply
    38,643x = 82,390 × 82,390
  4. Step 4: Simplify right side
    38,643x = 6,788,112,100
  5. Step 5: Solve for x
    x = 6,788,112,100/38,643
  6. Step 6: Final answer
    x = 175,662.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.