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Finding the Third Proportional to 66,009 and 144,060

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Solution

The third proportional to 66,009 and 144,060 is: 314,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,009 : 144,060 = 144,060 : x
  2. Step 2: Convert to fraction form
    66,009/144,060 = 144,060/x
  3. Step 3: Cross multiply
    66,009x = 144,060 × 144,060
  4. Step 4: Simplify right side
    66,009x = 20,753,283,600
  5. Step 5: Solve for x
    x = 20,753,283,600/66,009
  6. Step 6: Final answer
    x = 314,400.82

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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.