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Finding the Third Proportional to 386,370.38 and 829,872.75

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Solution

The third proportional to 386,370.38 and 829,872.75 is: 1,782,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,370.38 : 829,872.75 = 829,872.75 : x
  2. Step 2: Convert to fraction form
    386,370.38/829,872.75 = 829,872.75/x
  3. Step 3: Cross multiply
    386,370.38x = 829,872.75 × 829,872.75
  4. Step 4: Simplify right side
    386,370.38x = 688,688,781,192.56
  5. Step 5: Solve for x
    x = 688,688,781,192.56/386,370.38
  6. Step 6: Final answer
    x = 1,782,457.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.