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Finding the Third Proportional to 34,725 and 74,859

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Solution

The third proportional to 34,725 and 74,859 is: 161,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,725 : 74,859 = 74,859 : x
  2. Step 2: Convert to fraction form
    34,725/74,859 = 74,859/x
  3. Step 3: Cross multiply
    34,725x = 74,859 × 74,859
  4. Step 4: Simplify right side
    34,725x = 5,603,869,881
  5. Step 5: Solve for x
    x = 5,603,869,881/34,725
  6. Step 6: Final answer
    x = 161,378.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.