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Finding the Third Proportional to 69,307 and 145,858

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Solution

The third proportional to 69,307 and 145,858 is: 306,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,307 : 145,858 = 145,858 : x
  2. Step 2: Convert to fraction form
    69,307/145,858 = 145,858/x
  3. Step 3: Cross multiply
    69,307x = 145,858 × 145,858
  4. Step 4: Simplify right side
    69,307x = 21,274,556,164
  5. Step 5: Solve for x
    x = 21,274,556,164/69,307
  6. Step 6: Final answer
    x = 306,961.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.