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Finding the Third Proportional to 256,166 and 556,628

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Solution

The third proportional to 256,166 and 556,628 is: 1,209,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166 : 556,628 = 556,628 : x
  2. Step 2: Convert to fraction form
    256,166/556,628 = 556,628/x
  3. Step 3: Cross multiply
    256,166x = 556,628 × 556,628
  4. Step 4: Simplify right side
    256,166x = 309,834,730,384
  5. Step 5: Solve for x
    x = 309,834,730,384/256,166
  6. Step 6: Final answer
    x = 1,209,507.63

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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.