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Finding the Third Proportional to 178,248 and 396,346

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Solution

The third proportional to 178,248 and 396,346 is: 881,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,248 : 396,346 = 396,346 : x
  2. Step 2: Convert to fraction form
    178,248/396,346 = 396,346/x
  3. Step 3: Cross multiply
    178,248x = 396,346 × 396,346
  4. Step 4: Simplify right side
    178,248x = 157,090,151,716
  5. Step 5: Solve for x
    x = 157,090,151,716/178,248
  6. Step 6: Final answer
    x = 881,301.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.