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Finding the Third Proportional to 178,233 and 371,209

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Solution

The third proportional to 178,233 and 371,209 is: 773,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,233 : 371,209 = 371,209 : x
  2. Step 2: Convert to fraction form
    178,233/371,209 = 371,209/x
  3. Step 3: Cross multiply
    178,233x = 371,209 × 371,209
  4. Step 4: Simplify right side
    178,233x = 137,796,121,681
  5. Step 5: Solve for x
    x = 137,796,121,681/178,233
  6. Step 6: Final answer
    x = 773,123.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.