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Finding the Third Proportional to 376,999.31 and 820,337.63

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Solution

The third proportional to 376,999.31 and 820,337.63 is: 1,785,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,999.31 : 820,337.63 = 820,337.63 : x
  2. Step 2: Convert to fraction form
    376,999.31/820,337.63 = 820,337.63/x
  3. Step 3: Cross multiply
    376,999.31x = 820,337.63 × 820,337.63
  4. Step 4: Simplify right side
    376,999.31x = 672,953,818,990.64
  5. Step 5: Solve for x
    x = 672,953,818,990.64/376,999.31
  6. Step 6: Final answer
    x = 1,785,026.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.