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Finding the Third Proportional to 259,665.75 and 405,901.13

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Solution

The third proportional to 259,665.75 and 405,901.13 is: 634,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,665.75 : 405,901.13 = 405,901.13 : x
  2. Step 2: Convert to fraction form
    259,665.75/405,901.13 = 405,901.13/x
  3. Step 3: Cross multiply
    259,665.75x = 405,901.13 × 405,901.13
  4. Step 4: Simplify right side
    259,665.75x = 164,755,723,276.27
  5. Step 5: Solve for x
    x = 164,755,723,276.27/259,665.75
  6. Step 6: Final answer
    x = 634,491.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.