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Finding the Third Proportional to 206,136 and 293,988

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Solution

The third proportional to 206,136 and 293,988 is: 419,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136 : 293,988 = 293,988 : x
  2. Step 2: Convert to fraction form
    206,136/293,988 = 293,988/x
  3. Step 3: Cross multiply
    206,136x = 293,988 × 293,988
  4. Step 4: Simplify right side
    206,136x = 86,428,944,144
  5. Step 5: Solve for x
    x = 86,428,944,144/206,136
  6. Step 6: Final answer
    x = 419,281.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.