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Finding the Third Proportional to 266,388 and 406,230

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Solution

The third proportional to 266,388 and 406,230 is: 619,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,388 : 406,230 = 406,230 : x
  2. Step 2: Convert to fraction form
    266,388/406,230 = 406,230/x
  3. Step 3: Cross multiply
    266,388x = 406,230 × 406,230
  4. Step 4: Simplify right side
    266,388x = 165,022,812,900
  5. Step 5: Solve for x
    x = 165,022,812,900/266,388
  6. Step 6: Final answer
    x = 619,482.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.