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Finding the Third Proportional to 256,753.69 and 554,103.28

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Solution

The third proportional to 256,753.69 and 554,103.28 is: 1,195,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,753.69 : 554,103.28 = 554,103.28 : x
  2. Step 2: Convert to fraction form
    256,753.69/554,103.28 = 554,103.28/x
  3. Step 3: Cross multiply
    256,753.69x = 554,103.28 × 554,103.28
  4. Step 4: Simplify right side
    256,753.69x = 307,030,446,292.02
  5. Step 5: Solve for x
    x = 307,030,446,292.02/256,753.69
  6. Step 6: Final answer
    x = 1,195,817.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.