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Finding the Third Proportional to 256,421 and 557,068

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Solution

The third proportional to 256,421 and 557,068 is: 1,210,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,421 : 557,068 = 557,068 : x
  2. Step 2: Convert to fraction form
    256,421/557,068 = 557,068/x
  3. Step 3: Cross multiply
    256,421x = 557,068 × 557,068
  4. Step 4: Simplify right side
    256,421x = 310,324,756,624
  5. Step 5: Solve for x
    x = 310,324,756,624/256,421
  6. Step 6: Final answer
    x = 1,210,215.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.