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Finding the Third Proportional to 255,906 and 391,681

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Solution

The third proportional to 255,906 and 391,681 is: 599,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906 : 391,681 = 391,681 : x
  2. Step 2: Convert to fraction form
    255,906/391,681 = 391,681/x
  3. Step 3: Cross multiply
    255,906x = 391,681 × 391,681
  4. Step 4: Simplify right side
    255,906x = 153,414,005,761
  5. Step 5: Solve for x
    x = 153,414,005,761/255,906
  6. Step 6: Final answer
    x = 599,493.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.