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Finding the Third Proportional to 208,047 and 319,846.50

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Solution

The third proportional to 208,047 and 319,846.50 is: 491,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047 : 319,846.50 = 319,846.50 : x
  2. Step 2: Convert to fraction form
    208,047/319,846.50 = 319,846.50/x
  3. Step 3: Cross multiply
    208,047x = 319,846.50 × 319,846.50
  4. Step 4: Simplify right side
    208,047x = 102,301,783,562.25
  5. Step 5: Solve for x
    x = 102,301,783,562.25/208,047
  6. Step 6: Final answer
    x = 491,724.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.