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Finding the Third Proportional to 77,121 and 105,062

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Solution

The third proportional to 77,121 and 105,062 is: 143,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,121 : 105,062 = 105,062 : x
  2. Step 2: Convert to fraction form
    77,121/105,062 = 105,062/x
  3. Step 3: Cross multiply
    77,121x = 105,062 × 105,062
  4. Step 4: Simplify right side
    77,121x = 11,038,023,844
  5. Step 5: Solve for x
    x = 11,038,023,844/77,121
  6. Step 6: Final answer
    x = 143,126.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.