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Finding the Third Proportional to 81,284 and 173,840

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Solution

The third proportional to 81,284 and 173,840 is: 371,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,284 : 173,840 = 173,840 : x
  2. Step 2: Convert to fraction form
    81,284/173,840 = 173,840/x
  3. Step 3: Cross multiply
    81,284x = 173,840 × 173,840
  4. Step 4: Simplify right side
    81,284x = 30,220,345,600
  5. Step 5: Solve for x
    x = 30,220,345,600/81,284
  6. Step 6: Final answer
    x = 371,787.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.