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Finding the Third Proportional to 201,054 and 290,722

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Solution

The third proportional to 201,054 and 290,722 is: 420,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,054 : 290,722 = 290,722 : x
  2. Step 2: Convert to fraction form
    201,054/290,722 = 290,722/x
  3. Step 3: Cross multiply
    201,054x = 290,722 × 290,722
  4. Step 4: Simplify right side
    201,054x = 84,519,281,284
  5. Step 5: Solve for x
    x = 84,519,281,284/201,054
  6. Step 6: Final answer
    x = 420,381.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.