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Finding the Third Proportional to 256,157 and 556,612

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Solution

The third proportional to 256,157 and 556,612 is: 1,209,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,157 : 556,612 = 556,612 : x
  2. Step 2: Convert to fraction form
    256,157/556,612 = 556,612/x
  3. Step 3: Cross multiply
    256,157x = 556,612 × 556,612
  4. Step 4: Simplify right side
    256,157x = 309,816,918,544
  5. Step 5: Solve for x
    x = 309,816,918,544/256,157
  6. Step 6: Final answer
    x = 1,209,480.59

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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.