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Finding the Third Proportional to 136,185 and 290,900

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Solution

The third proportional to 136,185 and 290,900 is: 621,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,185 : 290,900 = 290,900 : x
  2. Step 2: Convert to fraction form
    136,185/290,900 = 290,900/x
  3. Step 3: Cross multiply
    136,185x = 290,900 × 290,900
  4. Step 4: Simplify right side
    136,185x = 84,622,810,000
  5. Step 5: Solve for x
    x = 84,622,810,000/136,185
  6. Step 6: Final answer
    x = 621,381.28

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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.