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Finding the Third Proportional to 178,137 and 385,362

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Solution

The third proportional to 178,137 and 385,362 is: 833,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,137 : 385,362 = 385,362 : x
  2. Step 2: Convert to fraction form
    178,137/385,362 = 385,362/x
  3. Step 3: Cross multiply
    178,137x = 385,362 × 385,362
  4. Step 4: Simplify right side
    178,137x = 148,503,871,044
  5. Step 5: Solve for x
    x = 148,503,871,044/178,137
  6. Step 6: Final answer
    x = 833,649.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.