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Finding the Third Proportional to 119,330 and 259,688

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Solution

The third proportional to 119,330 and 259,688 is: 565,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,330 : 259,688 = 259,688 : x
  2. Step 2: Convert to fraction form
    119,330/259,688 = 259,688/x
  3. Step 3: Cross multiply
    119,330x = 259,688 × 259,688
  4. Step 4: Simplify right side
    119,330x = 67,437,857,344
  5. Step 5: Solve for x
    x = 67,437,857,344/119,330
  6. Step 6: Final answer
    x = 565,137.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.