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Finding the Third Proportional to 77,187.38 and 164,742.75

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Solution

The third proportional to 77,187.38 and 164,742.75 is: 351,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187.38 : 164,742.75 = 164,742.75 : x
  2. Step 2: Convert to fraction form
    77,187.38/164,742.75 = 164,742.75/x
  3. Step 3: Cross multiply
    77,187.38x = 164,742.75 × 164,742.75
  4. Step 4: Simplify right side
    77,187.38x = 27,140,173,677.56
  5. Step 5: Solve for x
    x = 27,140,173,677.56/77,187.38
  6. Step 6: Final answer
    x = 351,614.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.