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Finding the Third Proportional to 180,866 and 266,071

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Solution

The third proportional to 180,866 and 266,071 is: 391,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,866 : 266,071 = 266,071 : x
  2. Step 2: Convert to fraction form
    180,866/266,071 = 266,071/x
  3. Step 3: Cross multiply
    180,866x = 266,071 × 266,071
  4. Step 4: Simplify right side
    180,866x = 70,793,777,041
  5. Step 5: Solve for x
    x = 70,793,777,041/180,866
  6. Step 6: Final answer
    x = 391,415.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.