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Finding the Third Proportional to 381,130.31 and 828,688.22

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Solution

The third proportional to 381,130.31 and 828,688.22 is: 1,801,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,130.31 : 828,688.22 = 828,688.22 : x
  2. Step 2: Convert to fraction form
    381,130.31/828,688.22 = 828,688.22/x
  3. Step 3: Cross multiply
    381,130.31x = 828,688.22 × 828,688.22
  4. Step 4: Simplify right side
    381,130.31x = 686,724,163,895.05
  5. Step 5: Solve for x
    x = 686,724,163,895.05/381,130.31
  6. Step 6: Final answer
    x = 1,801,809.36

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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.