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Finding the Third Proportional to 256,728 and 572,486

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Solution

The third proportional to 256,728 and 572,486 is: 1,276,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,728 : 572,486 = 572,486 : x
  2. Step 2: Convert to fraction form
    256,728/572,486 = 572,486/x
  3. Step 3: Cross multiply
    256,728x = 572,486 × 572,486
  4. Step 4: Simplify right side
    256,728x = 327,740,220,196
  5. Step 5: Solve for x
    x = 327,740,220,196/256,728
  6. Step 6: Final answer
    x = 1,276,604.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.