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Finding the Third Proportional to 256,700 and 556,168

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Solution

The third proportional to 256,700 and 556,168 is: 1,204,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,700 : 556,168 = 556,168 : x
  2. Step 2: Convert to fraction form
    256,700/556,168 = 556,168/x
  3. Step 3: Cross multiply
    256,700x = 556,168 × 556,168
  4. Step 4: Simplify right side
    256,700x = 309,322,844,224
  5. Step 5: Solve for x
    x = 309,322,844,224/256,700
  6. Step 6: Final answer
    x = 1,204,997.45

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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.