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Finding the Third Proportional to 31,913 and 69,961

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Solution

The third proportional to 31,913 and 69,961 is: 153,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913 : 69,961 = 69,961 : x
  2. Step 2: Convert to fraction form
    31,913/69,961 = 69,961/x
  3. Step 3: Cross multiply
    31,913x = 69,961 × 69,961
  4. Step 4: Simplify right side
    31,913x = 4,894,541,521
  5. Step 5: Solve for x
    x = 4,894,541,521/31,913
  6. Step 6: Final answer
    x = 153,371.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.