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Finding the Third Proportional to 256,248 and 382,276

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Solution

The third proportional to 256,248 and 382,276 is: 570,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,248 : 382,276 = 382,276 : x
  2. Step 2: Convert to fraction form
    256,248/382,276 = 382,276/x
  3. Step 3: Cross multiply
    256,248x = 382,276 × 382,276
  4. Step 4: Simplify right side
    256,248x = 146,134,940,176
  5. Step 5: Solve for x
    x = 146,134,940,176/256,248
  6. Step 6: Final answer
    x = 570,287.14

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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.