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Finding the Third Proportional to 253,918 and 385,864

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Solution

The third proportional to 253,918 and 385,864 is: 586,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,918 : 385,864 = 385,864 : x
  2. Step 2: Convert to fraction form
    253,918/385,864 = 385,864/x
  3. Step 3: Cross multiply
    253,918x = 385,864 × 385,864
  4. Step 4: Simplify right side
    253,918x = 148,891,026,496
  5. Step 5: Solve for x
    x = 148,891,026,496/253,918
  6. Step 6: Final answer
    x = 586,374.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.