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Finding the Third Proportional to 66,088 and 144,212

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Solution

The third proportional to 66,088 and 144,212 is: 314,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,088 : 144,212 = 144,212 : x
  2. Step 2: Convert to fraction form
    66,088/144,212 = 144,212/x
  3. Step 3: Cross multiply
    66,088x = 144,212 × 144,212
  4. Step 4: Simplify right side
    66,088x = 20,797,100,944
  5. Step 5: Solve for x
    x = 20,797,100,944/66,088
  6. Step 6: Final answer
    x = 314,688.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.