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Finding the Third Proportional to 354,233.25 and 411,814.13

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Solution

The third proportional to 354,233.25 and 411,814.13 is: 478,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,233.25 : 411,814.13 = 411,814.13 : x
  2. Step 2: Convert to fraction form
    354,233.25/411,814.13 = 411,814.13/x
  3. Step 3: Cross multiply
    354,233.25x = 411,814.13 × 411,814.13
  4. Step 4: Simplify right side
    354,233.25x = 169,590,873,549.52
  5. Step 5: Solve for x
    x = 169,590,873,549.52/354,233.25
  6. Step 6: Final answer
    x = 478,754.81

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.