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Finding the Third Proportional to 115,713 and 253,620

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Solution

The third proportional to 115,713 and 253,620 is: 555,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,713 : 253,620 = 253,620 : x
  2. Step 2: Convert to fraction form
    115,713/253,620 = 253,620/x
  3. Step 3: Cross multiply
    115,713x = 253,620 × 253,620
  4. Step 4: Simplify right side
    115,713x = 64,323,104,400
  5. Step 5: Solve for x
    x = 64,323,104,400/115,713
  6. Step 6: Final answer
    x = 555,884.86

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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.