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Finding the Third Proportional to 378,872.50 and 829,095

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Solution

The third proportional to 378,872.50 and 829,095 is: 1,814,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,872.50 : 829,095 = 829,095 : x
  2. Step 2: Convert to fraction form
    378,872.50/829,095 = 829,095/x
  3. Step 3: Cross multiply
    378,872.50x = 829,095 × 829,095
  4. Step 4: Simplify right side
    378,872.50x = 687,398,519,025
  5. Step 5: Solve for x
    x = 687,398,519,025/378,872.50
  6. Step 6: Final answer
    x = 1,814,326.77

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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.