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Finding the Third Proportional to 29,890 and 65,047

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Solution

The third proportional to 29,890 and 65,047 is: 141,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,890 : 65,047 = 65,047 : x
  2. Step 2: Convert to fraction form
    29,890/65,047 = 65,047/x
  3. Step 3: Cross multiply
    29,890x = 65,047 × 65,047
  4. Step 4: Simplify right side
    29,890x = 4,231,112,209
  5. Step 5: Solve for x
    x = 4,231,112,209/29,890
  6. Step 6: Final answer
    x = 141,556.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.