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Finding the Third Proportional to 29,909 and 53,971

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Solution

The third proportional to 29,909 and 53,971 is: 97,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,909 : 53,971 = 53,971 : x
  2. Step 2: Convert to fraction form
    29,909/53,971 = 53,971/x
  3. Step 3: Cross multiply
    29,909x = 53,971 × 53,971
  4. Step 4: Simplify right side
    29,909x = 2,912,868,841
  5. Step 5: Solve for x
    x = 2,912,868,841/29,909
  6. Step 6: Final answer
    x = 97,391.05

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.