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Finding the Third Proportional to 178,499 and 386,388

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Solution

The third proportional to 178,499 and 386,388 is: 836,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,499 : 386,388 = 386,388 : x
  2. Step 2: Convert to fraction form
    178,499/386,388 = 386,388/x
  3. Step 3: Cross multiply
    178,499x = 386,388 × 386,388
  4. Step 4: Simplify right side
    178,499x = 149,295,686,544
  5. Step 5: Solve for x
    x = 149,295,686,544/178,499
  6. Step 6: Final answer
    x = 836,395.09

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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.