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Finding the Third Proportional to 77,643 and 106,076.25

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Solution

The third proportional to 77,643 and 106,076.25 is: 144,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643 : 106,076.25 = 106,076.25 : x
  2. Step 2: Convert to fraction form
    77,643/106,076.25 = 106,076.25/x
  3. Step 3: Cross multiply
    77,643x = 106,076.25 × 106,076.25
  4. Step 4: Simplify right side
    77,643x = 11,252,170,814.06
  5. Step 5: Solve for x
    x = 11,252,170,814.06/77,643
  6. Step 6: Final answer
    x = 144,921.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.