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Finding the Third Proportional to 183,533 and 283,663.50

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Solution

The third proportional to 183,533 and 283,663.50 is: 438,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,533 : 283,663.50 = 283,663.50 : x
  2. Step 2: Convert to fraction form
    183,533/283,663.50 = 283,663.50/x
  3. Step 3: Cross multiply
    183,533x = 283,663.50 × 283,663.50
  4. Step 4: Simplify right side
    183,533x = 80,464,981,232.25
  5. Step 5: Solve for x
    x = 80,464,981,232.25/183,533
  6. Step 6: Final answer
    x = 438,422.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.