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Finding the Third Proportional to 71,590 and 161,745

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Solution

The third proportional to 71,590 and 161,745 is: 365,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,590 : 161,745 = 161,745 : x
  2. Step 2: Convert to fraction form
    71,590/161,745 = 161,745/x
  3. Step 3: Cross multiply
    71,590x = 161,745 × 161,745
  4. Step 4: Simplify right side
    71,590x = 26,161,445,025
  5. Step 5: Solve for x
    x = 26,161,445,025/71,590
  6. Step 6: Final answer
    x = 365,434.35

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.