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Finding the Third Proportional to 119,840 and 259,328

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Solution

The third proportional to 119,840 and 259,328 is: 561,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,840 : 259,328 = 259,328 : x
  2. Step 2: Convert to fraction form
    119,840/259,328 = 259,328/x
  3. Step 3: Cross multiply
    119,840x = 259,328 × 259,328
  4. Step 4: Simplify right side
    119,840x = 67,251,011,584
  5. Step 5: Solve for x
    x = 67,251,011,584/119,840
  6. Step 6: Final answer
    x = 561,173.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.