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Finding the Third Proportional to 115,382 and 248,620

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Solution

The third proportional to 115,382 and 248,620 is: 535,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,382 : 248,620 = 248,620 : x
  2. Step 2: Convert to fraction form
    115,382/248,620 = 248,620/x
  3. Step 3: Cross multiply
    115,382x = 248,620 × 248,620
  4. Step 4: Simplify right side
    115,382x = 61,811,904,400
  5. Step 5: Solve for x
    x = 61,811,904,400/115,382
  6. Step 6: Final answer
    x = 535,715.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.