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Finding the Third Proportional to 66,603 and 141,684

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Solution

The third proportional to 66,603 and 141,684 is: 301,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,603 : 141,684 = 141,684 : x
  2. Step 2: Convert to fraction form
    66,603/141,684 = 141,684/x
  3. Step 3: Cross multiply
    66,603x = 141,684 × 141,684
  4. Step 4: Simplify right side
    66,603x = 20,074,355,856
  5. Step 5: Solve for x
    x = 20,074,355,856/66,603
  6. Step 6: Final answer
    x = 301,403.18

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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.