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Finding the Third Proportional to 61,805 and 69,905

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Solution

The third proportional to 61,805 and 69,905 is: 79,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,805 : 69,905 = 69,905 : x
  2. Step 2: Convert to fraction form
    61,805/69,905 = 69,905/x
  3. Step 3: Cross multiply
    61,805x = 69,905 × 69,905
  4. Step 4: Simplify right side
    61,805x = 4,886,709,025
  5. Step 5: Solve for x
    x = 4,886,709,025/61,805
  6. Step 6: Final answer
    x = 79,066.56

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.