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Finding the Third Proportional to 200,305.50 and 406,143

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Solution

The third proportional to 200,305.50 and 406,143 is: 823,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,305.50 : 406,143 = 406,143 : x
  2. Step 2: Convert to fraction form
    200,305.50/406,143 = 406,143/x
  3. Step 3: Cross multiply
    200,305.50x = 406,143 × 406,143
  4. Step 4: Simplify right side
    200,305.50x = 164,952,136,449
  5. Step 5: Solve for x
    x = 164,952,136,449/200,305.50
  6. Step 6: Final answer
    x = 823,502.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.