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Finding the Third Proportional to 381,300.75 and 829,001.25

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Solution

The third proportional to 381,300.75 and 829,001.25 is: 1,802,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,300.75 : 829,001.25 = 829,001.25 : x
  2. Step 2: Convert to fraction form
    381,300.75/829,001.25 = 829,001.25/x
  3. Step 3: Cross multiply
    381,300.75x = 829,001.25 × 829,001.25
  4. Step 4: Simplify right side
    381,300.75x = 687,243,072,501.56
  5. Step 5: Solve for x
    x = 687,243,072,501.56/381,300.75
  6. Step 6: Final answer
    x = 1,802,364.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.