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Finding the Third Proportional to 259,272 and 399,970

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Solution

The third proportional to 259,272 and 399,970 is: 617,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,272 : 399,970 = 399,970 : x
  2. Step 2: Convert to fraction form
    259,272/399,970 = 399,970/x
  3. Step 3: Cross multiply
    259,272x = 399,970 × 399,970
  4. Step 4: Simplify right side
    259,272x = 159,976,000,900
  5. Step 5: Solve for x
    x = 159,976,000,900/259,272
  6. Step 6: Final answer
    x = 617,019.97

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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.