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Finding the Third Proportional to 256,648 and 529,559

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Solution

The third proportional to 256,648 and 529,559 is: 1,092,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,648 : 529,559 = 529,559 : x
  2. Step 2: Convert to fraction form
    256,648/529,559 = 529,559/x
  3. Step 3: Cross multiply
    256,648x = 529,559 × 529,559
  4. Step 4: Simplify right side
    256,648x = 280,432,734,481
  5. Step 5: Solve for x
    x = 280,432,734,481/256,648
  6. Step 6: Final answer
    x = 1,092,674.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.