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Finding the Third Proportional to 47,578 and 74,090

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Solution

The third proportional to 47,578 and 74,090 is: 115,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578 : 74,090 = 74,090 : x
  2. Step 2: Convert to fraction form
    47,578/74,090 = 74,090/x
  3. Step 3: Cross multiply
    47,578x = 74,090 × 74,090
  4. Step 4: Simplify right side
    47,578x = 5,489,328,100
  5. Step 5: Solve for x
    x = 5,489,328,100/47,578
  6. Step 6: Final answer
    x = 115,375.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.