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Finding the Third Proportional to 115,736 and 253,630

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Solution

The third proportional to 115,736 and 253,630 is: 555,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,736 : 253,630 = 253,630 : x
  2. Step 2: Convert to fraction form
    115,736/253,630 = 253,630/x
  3. Step 3: Cross multiply
    115,736x = 253,630 × 253,630
  4. Step 4: Simplify right side
    115,736x = 64,328,176,900
  5. Step 5: Solve for x
    x = 64,328,176,900/115,736
  6. Step 6: Final answer
    x = 555,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.