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Finding the Third Proportional to 256,496 and 556,462

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Solution

The third proportional to 256,496 and 556,462 is: 1,207,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,496 : 556,462 = 556,462 : x
  2. Step 2: Convert to fraction form
    256,496/556,462 = 556,462/x
  3. Step 3: Cross multiply
    256,496x = 556,462 × 556,462
  4. Step 4: Simplify right side
    256,496x = 309,649,957,444
  5. Step 5: Solve for x
    x = 309,649,957,444/256,496
  6. Step 6: Final answer
    x = 1,207,231.14

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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.