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Finding the Third Proportional to 136,183 and 290,896

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Solution

The third proportional to 136,183 and 290,896 is: 621,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,183 : 290,896 = 290,896 : x
  2. Step 2: Convert to fraction form
    136,183/290,896 = 290,896/x
  3. Step 3: Cross multiply
    136,183x = 290,896 × 290,896
  4. Step 4: Simplify right side
    136,183x = 84,620,482,816
  5. Step 5: Solve for x
    x = 84,620,482,816/136,183
  6. Step 6: Final answer
    x = 621,373.32

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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.