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Finding the Third Proportional to 115,387 and 253,494

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Solution

The third proportional to 115,387 and 253,494 is: 556,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,387 : 253,494 = 253,494 : x
  2. Step 2: Convert to fraction form
    115,387/253,494 = 253,494/x
  3. Step 3: Cross multiply
    115,387x = 253,494 × 253,494
  4. Step 4: Simplify right side
    115,387x = 64,259,208,036
  5. Step 5: Solve for x
    x = 64,259,208,036/115,387
  6. Step 6: Final answer
    x = 556,901.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.