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Finding the Third Proportional to 243,864 and 348,057

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Solution

The third proportional to 243,864 and 348,057 is: 496,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,864 : 348,057 = 348,057 : x
  2. Step 2: Convert to fraction form
    243,864/348,057 = 348,057/x
  3. Step 3: Cross multiply
    243,864x = 348,057 × 348,057
  4. Step 4: Simplify right side
    243,864x = 121,143,675,249
  5. Step 5: Solve for x
    x = 121,143,675,249/243,864
  6. Step 6: Final answer
    x = 496,767.36

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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.