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Finding the Third Proportional to 178,497 and 371,789

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Solution

The third proportional to 178,497 and 371,789 is: 774,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,497 : 371,789 = 371,789 : x
  2. Step 2: Convert to fraction form
    178,497/371,789 = 371,789/x
  3. Step 3: Cross multiply
    178,497x = 371,789 × 371,789
  4. Step 4: Simplify right side
    178,497x = 138,227,060,521
  5. Step 5: Solve for x
    x = 138,227,060,521/178,497
  6. Step 6: Final answer
    x = 774,394.31

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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.