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Finding the Third Proportional to 256,719 and 399,582

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Solution

The third proportional to 256,719 and 399,582 is: 621,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,719 : 399,582 = 399,582 : x
  2. Step 2: Convert to fraction form
    256,719/399,582 = 399,582/x
  3. Step 3: Cross multiply
    256,719x = 399,582 × 399,582
  4. Step 4: Simplify right side
    256,719x = 159,665,774,724
  5. Step 5: Solve for x
    x = 159,665,774,724/256,719
  6. Step 6: Final answer
    x = 621,947.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.