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Finding the Third Proportional to 77,644 and 106,077.50

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Solution

The third proportional to 77,644 and 106,077.50 is: 144,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644 : 106,077.50 = 106,077.50 : x
  2. Step 2: Convert to fraction form
    77,644/106,077.50 = 106,077.50/x
  3. Step 3: Cross multiply
    77,644x = 106,077.50 × 106,077.50
  4. Step 4: Simplify right side
    77,644x = 11,252,436,006.25
  5. Step 5: Solve for x
    x = 11,252,436,006.25/77,644
  6. Step 6: Final answer
    x = 144,923.45

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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.