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Finding the Third Proportional to 77,531 and 122,969

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Solution

The third proportional to 77,531 and 122,969 is: 195,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,531 : 122,969 = 122,969 : x
  2. Step 2: Convert to fraction form
    77,531/122,969 = 122,969/x
  3. Step 3: Cross multiply
    77,531x = 122,969 × 122,969
  4. Step 4: Simplify right side
    77,531x = 15,121,374,961
  5. Step 5: Solve for x
    x = 15,121,374,961/77,531
  6. Step 6: Final answer
    x = 195,036.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.