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Finding the Third Proportional to 256,248 and 551,861

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Solution

The third proportional to 256,248 and 551,861 is: 1,188,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,248 : 551,861 = 551,861 : x
  2. Step 2: Convert to fraction form
    256,248/551,861 = 551,861/x
  3. Step 3: Cross multiply
    256,248x = 551,861 × 551,861
  4. Step 4: Simplify right side
    256,248x = 304,550,563,321
  5. Step 5: Solve for x
    x = 304,550,563,321/256,248
  6. Step 6: Final answer
    x = 1,188,499.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.