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Finding the Third Proportional to 35,454 and 74,781

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Solution

The third proportional to 35,454 and 74,781 is: 157,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454 : 74,781 = 74,781 : x
  2. Step 2: Convert to fraction form
    35,454/74,781 = 74,781/x
  3. Step 3: Cross multiply
    35,454x = 74,781 × 74,781
  4. Step 4: Simplify right side
    35,454x = 5,592,197,961
  5. Step 5: Solve for x
    x = 5,592,197,961/35,454
  6. Step 6: Final answer
    x = 157,731.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.