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Finding the Third Proportional to 311,738 and 502,034

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Solution

The third proportional to 311,738 and 502,034 is: 808,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,738 : 502,034 = 502,034 : x
  2. Step 2: Convert to fraction form
    311,738/502,034 = 502,034/x
  3. Step 3: Cross multiply
    311,738x = 502,034 × 502,034
  4. Step 4: Simplify right side
    311,738x = 252,038,137,156
  5. Step 5: Solve for x
    x = 252,038,137,156/311,738
  6. Step 6: Final answer
    x = 808,493.47

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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.