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Finding the Third Proportional to 66,555 and 145,391

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Solution

The third proportional to 66,555 and 145,391 is: 317,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,555 : 145,391 = 145,391 : x
  2. Step 2: Convert to fraction form
    66,555/145,391 = 145,391/x
  3. Step 3: Cross multiply
    66,555x = 145,391 × 145,391
  4. Step 4: Simplify right side
    66,555x = 21,138,542,881
  5. Step 5: Solve for x
    x = 21,138,542,881/66,555
  6. Step 6: Final answer
    x = 317,610.14

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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.