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Finding the Third Proportional to 243,669 and 378,753

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Solution

The third proportional to 243,669 and 378,753 is: 588,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,669 : 378,753 = 378,753 : x
  2. Step 2: Convert to fraction form
    243,669/378,753 = 378,753/x
  3. Step 3: Cross multiply
    243,669x = 378,753 × 378,753
  4. Step 4: Simplify right side
    243,669x = 143,453,835,009
  5. Step 5: Solve for x
    x = 143,453,835,009/243,669
  6. Step 6: Final answer
    x = 588,724.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.