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Finding the Third Proportional to 66,749 and 145,038

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Solution

The third proportional to 66,749 and 145,038 is: 315,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,749 : 145,038 = 145,038 : x
  2. Step 2: Convert to fraction form
    66,749/145,038 = 145,038/x
  3. Step 3: Cross multiply
    66,749x = 145,038 × 145,038
  4. Step 4: Simplify right side
    66,749x = 21,036,021,444
  5. Step 5: Solve for x
    x = 21,036,021,444/66,749
  6. Step 6: Final answer
    x = 315,151.11

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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.