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Finding the Third Proportional to 53,018 and 115,385

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Solution

The third proportional to 53,018 and 115,385 is: 251,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018 : 115,385 = 115,385 : x
  2. Step 2: Convert to fraction form
    53,018/115,385 = 115,385/x
  3. Step 3: Cross multiply
    53,018x = 115,385 × 115,385
  4. Step 4: Simplify right side
    53,018x = 13,313,698,225
  5. Step 5: Solve for x
    x = 13,313,698,225/53,018
  6. Step 6: Final answer
    x = 251,116.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.