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Finding the Third Proportional to 266,111 and 581,388

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Solution

The third proportional to 266,111 and 581,388 is: 1,270,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,111 : 581,388 = 581,388 : x
  2. Step 2: Convert to fraction form
    266,111/581,388 = 581,388/x
  3. Step 3: Cross multiply
    266,111x = 581,388 × 581,388
  4. Step 4: Simplify right side
    266,111x = 338,012,006,544
  5. Step 5: Solve for x
    x = 338,012,006,544/266,111
  6. Step 6: Final answer
    x = 1,270,191.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.