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Finding the Third Proportional to 243,169 and 363,781

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Solution

The third proportional to 243,169 and 363,781 is: 544,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,169 : 363,781 = 363,781 : x
  2. Step 2: Convert to fraction form
    243,169/363,781 = 363,781/x
  3. Step 3: Cross multiply
    243,169x = 363,781 × 363,781
  4. Step 4: Simplify right side
    243,169x = 132,336,615,961
  5. Step 5: Solve for x
    x = 132,336,615,961/243,169
  6. Step 6: Final answer
    x = 544,216.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.