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Finding the Third Proportional to 178,391 and 374,298

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Solution

The third proportional to 178,391 and 374,298 is: 785,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,391 : 374,298 = 374,298 : x
  2. Step 2: Convert to fraction form
    178,391/374,298 = 374,298/x
  3. Step 3: Cross multiply
    178,391x = 374,298 × 374,298
  4. Step 4: Simplify right side
    178,391x = 140,098,992,804
  5. Step 5: Solve for x
    x = 140,098,992,804/178,391
  6. Step 6: Final answer
    x = 785,347.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.