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Finding the Third Proportional to 407,128.78 and 869,383.13

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Solution

The third proportional to 407,128.78 and 869,383.13 is: 1,856,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,128.78 : 869,383.13 = 869,383.13 : x
  2. Step 2: Convert to fraction form
    407,128.78/869,383.13 = 869,383.13/x
  3. Step 3: Cross multiply
    407,128.78x = 869,383.13 × 869,383.13
  4. Step 4: Simplify right side
    407,128.78x = 755,827,018,034.77
  5. Step 5: Solve for x
    x = 755,827,018,034.77/407,128.78
  6. Step 6: Final answer
    x = 1,856,481.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.