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Finding the Third Proportional to 66,114 and 145,353

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Solution

The third proportional to 66,114 and 145,353 is: 319,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,114 : 145,353 = 145,353 : x
  2. Step 2: Convert to fraction form
    66,114/145,353 = 145,353/x
  3. Step 3: Cross multiply
    66,114x = 145,353 × 145,353
  4. Step 4: Simplify right side
    66,114x = 21,127,494,609
  5. Step 5: Solve for x
    x = 21,127,494,609/66,114
  6. Step 6: Final answer
    x = 319,561.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.