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Finding the Third Proportional to 128,331 and 183,208.50

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Solution

The third proportional to 128,331 and 183,208.50 is: 261,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,331 : 183,208.50 = 183,208.50 : x
  2. Step 2: Convert to fraction form
    128,331/183,208.50 = 183,208.50/x
  3. Step 3: Cross multiply
    128,331x = 183,208.50 × 183,208.50
  4. Step 4: Simplify right side
    128,331x = 33,565,354,472.25
  5. Step 5: Solve for x
    x = 33,565,354,472.25/128,331
  6. Step 6: Final answer
    x = 261,552.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.