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Finding the Third Proportional to 338,391 and 523,143

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Solution

The third proportional to 338,391 and 523,143 is: 808,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,391 : 523,143 = 523,143 : x
  2. Step 2: Convert to fraction form
    338,391/523,143 = 523,143/x
  3. Step 3: Cross multiply
    338,391x = 523,143 × 523,143
  4. Step 4: Simplify right side
    338,391x = 273,678,598,449
  5. Step 5: Solve for x
    x = 273,678,598,449/338,391
  6. Step 6: Final answer
    x = 808,764.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.