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Finding the Third Proportional to 256,084 and 382,369

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Solution

The third proportional to 256,084 and 382,369 is: 570,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,084 : 382,369 = 382,369 : x
  2. Step 2: Convert to fraction form
    256,084/382,369 = 382,369/x
  3. Step 3: Cross multiply
    256,084x = 382,369 × 382,369
  4. Step 4: Simplify right side
    256,084x = 146,206,052,161
  5. Step 5: Solve for x
    x = 146,206,052,161/256,084
  6. Step 6: Final answer
    x = 570,930.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.