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Finding the Third Proportional to 378,700.31 and 829,829.81

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Solution

The third proportional to 378,700.31 and 829,829.81 is: 1,818,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,700.31 : 829,829.81 = 829,829.81 : x
  2. Step 2: Convert to fraction form
    378,700.31/829,829.81 = 829,829.81/x
  3. Step 3: Cross multiply
    378,700.31x = 829,829.81 × 829,829.81
  4. Step 4: Simplify right side
    378,700.31x = 688,617,517,713.79
  5. Step 5: Solve for x
    x = 688,617,517,713.79/378,700.31
  6. Step 6: Final answer
    x = 1,818,370.61

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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.