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Finding the Third Proportional to 69,590 and 149,017

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Solution

The third proportional to 69,590 and 149,017 is: 319,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,590 : 149,017 = 149,017 : x
  2. Step 2: Convert to fraction form
    69,590/149,017 = 149,017/x
  3. Step 3: Cross multiply
    69,590x = 149,017 × 149,017
  4. Step 4: Simplify right side
    69,590x = 22,206,066,289
  5. Step 5: Solve for x
    x = 22,206,066,289/69,590
  6. Step 6: Final answer
    x = 319,098.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.