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Finding the Third Proportional to 256,159 and 556,616

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Solution

The third proportional to 256,159 and 556,616 is: 1,209,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,159 : 556,616 = 556,616 : x
  2. Step 2: Convert to fraction form
    256,159/556,616 = 556,616/x
  3. Step 3: Cross multiply
    256,159x = 556,616 × 556,616
  4. Step 4: Simplify right side
    256,159x = 309,821,371,456
  5. Step 5: Solve for x
    x = 309,821,371,456/256,159
  6. Step 6: Final answer
    x = 1,209,488.53

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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.