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Finding the Third Proportional to 94,809 and 142,455

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Solution

The third proportional to 94,809 and 142,455 is: 214,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,809 : 142,455 = 142,455 : x
  2. Step 2: Convert to fraction form
    94,809/142,455 = 142,455/x
  3. Step 3: Cross multiply
    94,809x = 142,455 × 142,455
  4. Step 4: Simplify right side
    94,809x = 20,293,427,025
  5. Step 5: Solve for x
    x = 20,293,427,025/94,809
  6. Step 6: Final answer
    x = 214,045.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.