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Finding the Third Proportional to 61,415 and 86,916

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Solution

The third proportional to 61,415 and 86,916 is: 123,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,415 : 86,916 = 86,916 : x
  2. Step 2: Convert to fraction form
    61,415/86,916 = 86,916/x
  3. Step 3: Cross multiply
    61,415x = 86,916 × 86,916
  4. Step 4: Simplify right side
    61,415x = 7,554,391,056
  5. Step 5: Solve for x
    x = 7,554,391,056/61,415
  6. Step 6: Final answer
    x = 123,005.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.