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Finding the Third Proportional to 196,440.19 and 290,977.31

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Solution

The third proportional to 196,440.19 and 290,977.31 is: 431,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,440.19 : 290,977.31 = 290,977.31 : x
  2. Step 2: Convert to fraction form
    196,440.19/290,977.31 = 290,977.31/x
  3. Step 3: Cross multiply
    196,440.19x = 290,977.31 × 290,977.31
  4. Step 4: Simplify right side
    196,440.19x = 84,667,796,389.72
  5. Step 5: Solve for x
    x = 84,667,796,389.72/196,440.19
  6. Step 6: Final answer
    x = 431,010.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.