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Finding the Third Proportional to 243,107 and 368,019

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Solution

The third proportional to 243,107 and 368,019 is: 557,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,107 : 368,019 = 368,019 : x
  2. Step 2: Convert to fraction form
    243,107/368,019 = 368,019/x
  3. Step 3: Cross multiply
    243,107x = 368,019 × 368,019
  4. Step 4: Simplify right side
    243,107x = 135,437,984,361
  5. Step 5: Solve for x
    x = 135,437,984,361/243,107
  6. Step 6: Final answer
    x = 557,112.65

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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.