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Finding the Third Proportional to 256,497 and 556,464

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Solution

The third proportional to 256,497 and 556,464 is: 1,207,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,497 : 556,464 = 556,464 : x
  2. Step 2: Convert to fraction form
    256,497/556,464 = 556,464/x
  3. Step 3: Cross multiply
    256,497x = 556,464 × 556,464
  4. Step 4: Simplify right side
    256,497x = 309,652,183,296
  5. Step 5: Solve for x
    x = 309,652,183,296/256,497
  6. Step 6: Final answer
    x = 1,207,235.11

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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.