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Finding the Third Proportional to 261,828 and 403,034

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Solution

The third proportional to 261,828 and 403,034 is: 620,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,828 : 403,034 = 403,034 : x
  2. Step 2: Convert to fraction form
    261,828/403,034 = 403,034/x
  3. Step 3: Cross multiply
    261,828x = 403,034 × 403,034
  4. Step 4: Simplify right side
    261,828x = 162,436,405,156
  5. Step 5: Solve for x
    x = 162,436,405,156/261,828
  6. Step 6: Final answer
    x = 620,393.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.