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Finding the Third Proportional to 375,213.52 and 820,490.77

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Solution

The third proportional to 375,213.52 and 820,490.77 is: 1,794,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,213.52 : 820,490.77 = 820,490.77 : x
  2. Step 2: Convert to fraction form
    375,213.52/820,490.77 = 820,490.77/x
  3. Step 3: Cross multiply
    375,213.52x = 820,490.77 × 820,490.77
  4. Step 4: Simplify right side
    375,213.52x = 673,205,096,475.90
  5. Step 5: Solve for x
    x = 673,205,096,475.90/375,213.52
  6. Step 6: Final answer
    x = 1,794,192.02

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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.