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Finding the Third Proportional to 256,699.13 and 481,276.69

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Solution

The third proportional to 256,699.13 and 481,276.69 is: 902,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,699.13 : 481,276.69 = 481,276.69 : x
  2. Step 2: Convert to fraction form
    256,699.13/481,276.69 = 481,276.69/x
  3. Step 3: Cross multiply
    256,699.13x = 481,276.69 × 481,276.69
  4. Step 4: Simplify right side
    256,699.13x = 231,627,249,930.97
  5. Step 5: Solve for x
    x = 231,627,249,930.97/256,699.13
  6. Step 6: Final answer
    x = 902,329.72

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.