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Finding the Third Proportional to 161,058 and 212,953

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Solution

The third proportional to 161,058 and 212,953 is: 281,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,058 : 212,953 = 212,953 : x
  2. Step 2: Convert to fraction form
    161,058/212,953 = 212,953/x
  3. Step 3: Cross multiply
    161,058x = 212,953 × 212,953
  4. Step 4: Simplify right side
    161,058x = 45,348,980,209
  5. Step 5: Solve for x
    x = 45,348,980,209/161,058
  6. Step 6: Final answer
    x = 281,569.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.