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Finding the Third Proportional to 266,860 and 405,789

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Solution

The third proportional to 266,860 and 405,789 is: 617,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,860 : 405,789 = 405,789 : x
  2. Step 2: Convert to fraction form
    266,860/405,789 = 405,789/x
  3. Step 3: Cross multiply
    266,860x = 405,789 × 405,789
  4. Step 4: Simplify right side
    266,860x = 164,664,712,521
  5. Step 5: Solve for x
    x = 164,664,712,521/266,860
  6. Step 6: Final answer
    x = 617,045.31

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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.