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Finding the Third Proportional to 196,569 and 311,741.50

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Solution

The third proportional to 196,569 and 311,741.50 is: 494,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,569 : 311,741.50 = 311,741.50 : x
  2. Step 2: Convert to fraction form
    196,569/311,741.50 = 311,741.50/x
  3. Step 3: Cross multiply
    196,569x = 311,741.50 × 311,741.50
  4. Step 4: Simplify right side
    196,569x = 97,182,762,822.25
  5. Step 5: Solve for x
    x = 97,182,762,822.25/196,569
  6. Step 6: Final answer
    x = 494,395.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.