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Finding the Third Proportional to 394,308 and 861,588

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Solution

The third proportional to 394,308 and 861,588 is: 1,882,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,308 : 861,588 = 861,588 : x
  2. Step 2: Convert to fraction form
    394,308/861,588 = 861,588/x
  3. Step 3: Cross multiply
    394,308x = 861,588 × 861,588
  4. Step 4: Simplify right side
    394,308x = 742,333,881,744
  5. Step 5: Solve for x
    x = 742,333,881,744/394,308
  6. Step 6: Final answer
    x = 1,882,624.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.