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Finding the Third Proportional to 109,706 and 258,713

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Solution

The third proportional to 109,706 and 258,713 is: 610,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706 : 258,713 = 258,713 : x
  2. Step 2: Convert to fraction form
    109,706/258,713 = 258,713/x
  3. Step 3: Cross multiply
    109,706x = 258,713 × 258,713
  4. Step 4: Simplify right side
    109,706x = 66,932,416,369
  5. Step 5: Solve for x
    x = 66,932,416,369/109,706
  6. Step 6: Final answer
    x = 610,107.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.