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Finding the Third Proportional to 66,804 and 145,008

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Solution

The third proportional to 66,804 and 145,008 is: 314,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,804 : 145,008 = 145,008 : x
  2. Step 2: Convert to fraction form
    66,804/145,008 = 145,008/x
  3. Step 3: Cross multiply
    66,804x = 145,008 × 145,008
  4. Step 4: Simplify right side
    66,804x = 21,027,320,064
  5. Step 5: Solve for x
    x = 21,027,320,064/66,804
  6. Step 6: Final answer
    x = 314,761.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.