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Finding the Third Proportional to 243,109 and 368,022

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Solution

The third proportional to 243,109 and 368,022 is: 557,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,109 : 368,022 = 368,022 : x
  2. Step 2: Convert to fraction form
    243,109/368,022 = 368,022/x
  3. Step 3: Cross multiply
    243,109x = 368,022 × 368,022
  4. Step 4: Simplify right side
    243,109x = 135,440,192,484
  5. Step 5: Solve for x
    x = 135,440,192,484/243,109
  6. Step 6: Final answer
    x = 557,117.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.