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Finding the Third Proportional to 180,866 and 386,642

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Solution

The third proportional to 180,866 and 386,642 is: 826,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,866 : 386,642 = 386,642 : x
  2. Step 2: Convert to fraction form
    180,866/386,642 = 386,642/x
  3. Step 3: Cross multiply
    180,866x = 386,642 × 386,642
  4. Step 4: Simplify right side
    180,866x = 149,492,036,164
  5. Step 5: Solve for x
    x = 149,492,036,164/180,866
  6. Step 6: Final answer
    x = 826,534.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.