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Finding the Third Proportional to 381,996 and 830,422.13

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Solution

The third proportional to 381,996 and 830,422.13 is: 1,805,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,996 : 830,422.13 = 830,422.13 : x
  2. Step 2: Convert to fraction form
    381,996/830,422.13 = 830,422.13/x
  3. Step 3: Cross multiply
    381,996x = 830,422.13 × 830,422.13
  4. Step 4: Simplify right side
    381,996x = 689,600,905,689.52
  5. Step 5: Solve for x
    x = 689,600,905,689.52/381,996
  6. Step 6: Final answer
    x = 1,805,256.88

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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.