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Finding the Third Proportional to 311,731.88 and 502,022.81

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Solution

The third proportional to 311,731.88 and 502,022.81 is: 808,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,731.88 : 502,022.81 = 502,022.81 : x
  2. Step 2: Convert to fraction form
    311,731.88/502,022.81 = 502,022.81/x
  3. Step 3: Cross multiply
    311,731.88x = 502,022.81 × 502,022.81
  4. Step 4: Simplify right side
    311,731.88x = 252,026,904,270.41
  5. Step 5: Solve for x
    x = 252,026,904,270.41/311,731.88
  6. Step 6: Final answer
    x = 808,473.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.