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Finding the Third Proportional to 117,407 and 251,415

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Solution

The third proportional to 117,407 and 251,415 is: 538,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,407 : 251,415 = 251,415 : x
  2. Step 2: Convert to fraction form
    117,407/251,415 = 251,415/x
  3. Step 3: Cross multiply
    117,407x = 251,415 × 251,415
  4. Step 4: Simplify right side
    117,407x = 63,209,502,225
  5. Step 5: Solve for x
    x = 63,209,502,225/117,407
  6. Step 6: Final answer
    x = 538,379.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.