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Finding the Third Proportional to 258,840 and 399,808

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Solution

The third proportional to 258,840 and 399,808 is: 617,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,840 : 399,808 = 399,808 : x
  2. Step 2: Convert to fraction form
    258,840/399,808 = 399,808/x
  3. Step 3: Cross multiply
    258,840x = 399,808 × 399,808
  4. Step 4: Simplify right side
    258,840x = 159,846,436,864
  5. Step 5: Solve for x
    x = 159,846,436,864/258,840
  6. Step 6: Final answer
    x = 617,549.21

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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.