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Finding the Third Proportional to 69,633 and 142,953

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Solution

The third proportional to 69,633 and 142,953 is: 293,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,633 : 142,953 = 142,953 : x
  2. Step 2: Convert to fraction form
    69,633/142,953 = 142,953/x
  3. Step 3: Cross multiply
    69,633x = 142,953 × 142,953
  4. Step 4: Simplify right side
    69,633x = 20,435,560,209
  5. Step 5: Solve for x
    x = 20,435,560,209/69,633
  6. Step 6: Final answer
    x = 293,475.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.