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Finding the Third Proportional to 380,971.13 and 814,429.13

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Solution

The third proportional to 380,971.13 and 814,429.13 is: 1,741,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,971.13 : 814,429.13 = 814,429.13 : x
  2. Step 2: Convert to fraction form
    380,971.13/814,429.13 = 814,429.13/x
  3. Step 3: Cross multiply
    380,971.13x = 814,429.13 × 814,429.13
  4. Step 4: Simplify right side
    380,971.13x = 663,294,799,648.27
  5. Step 5: Solve for x
    x = 663,294,799,648.27/380,971.13
  6. Step 6: Final answer
    x = 1,741,063.18

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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.