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Finding the Third Proportional to 256,154 and 556,606

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Solution

The third proportional to 256,154 and 556,606 is: 1,209,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,154 : 556,606 = 556,606 : x
  2. Step 2: Convert to fraction form
    256,154/556,606 = 556,606/x
  3. Step 3: Cross multiply
    256,154x = 556,606 × 556,606
  4. Step 4: Simplify right side
    256,154x = 309,810,239,236
  5. Step 5: Solve for x
    x = 309,810,239,236/256,154
  6. Step 6: Final answer
    x = 1,209,468.68

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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.