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Finding the Third Proportional to 256,529 and 556,860

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Solution

The third proportional to 256,529 and 556,860 is: 1,208,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,529 : 556,860 = 556,860 : x
  2. Step 2: Convert to fraction form
    256,529/556,860 = 556,860/x
  3. Step 3: Cross multiply
    256,529x = 556,860 × 556,860
  4. Step 4: Simplify right side
    256,529x = 310,093,059,600
  5. Step 5: Solve for x
    x = 310,093,059,600/256,529
  6. Step 6: Final answer
    x = 1,208,803.14

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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.