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Finding the Third Proportional to 178,637 and 386,435

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Solution

The third proportional to 178,637 and 386,435 is: 835,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,637 : 386,435 = 386,435 : x
  2. Step 2: Convert to fraction form
    178,637/386,435 = 386,435/x
  3. Step 3: Cross multiply
    178,637x = 386,435 × 386,435
  4. Step 4: Simplify right side
    178,637x = 149,332,009,225
  5. Step 5: Solve for x
    x = 149,332,009,225/178,637
  6. Step 6: Final answer
    x = 835,952.29

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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.