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Finding the Third Proportional to 311,792.63 and 502,144.31

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Solution

The third proportional to 311,792.63 and 502,144.31 is: 808,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,792.63 : 502,144.31 = 502,144.31 : x
  2. Step 2: Convert to fraction form
    311,792.63/502,144.31 = 502,144.31/x
  3. Step 3: Cross multiply
    311,792.63x = 502,144.31 × 502,144.31
  4. Step 4: Simplify right side
    311,792.63x = 252,148,910,576.10
  5. Step 5: Solve for x
    x = 252,148,910,576.10/311,792.63
  6. Step 6: Final answer
    x = 808,707.10

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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.