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Finding the Third Proportional to 315,569 and 431,134

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Solution

The third proportional to 315,569 and 431,134 is: 589,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,569 : 431,134 = 431,134 : x
  2. Step 2: Convert to fraction form
    315,569/431,134 = 431,134/x
  3. Step 3: Cross multiply
    315,569x = 431,134 × 431,134
  4. Step 4: Simplify right side
    315,569x = 185,876,525,956
  5. Step 5: Solve for x
    x = 185,876,525,956/315,569
  6. Step 6: Final answer
    x = 589,020.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.