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Finding the Third Proportional to 119,616 and 258,915

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Solution

The third proportional to 119,616 and 258,915 is: 560,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,616 : 258,915 = 258,915 : x
  2. Step 2: Convert to fraction form
    119,616/258,915 = 258,915/x
  3. Step 3: Cross multiply
    119,616x = 258,915 × 258,915
  4. Step 4: Simplify right side
    119,616x = 67,036,977,225
  5. Step 5: Solve for x
    x = 67,036,977,225/119,616
  6. Step 6: Final answer
    x = 560,434.87

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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.