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Finding the Third Proportional to 128,628.50 and 183,484

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Solution

The third proportional to 128,628.50 and 183,484 is: 261,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,628.50 : 183,484 = 183,484 : x
  2. Step 2: Convert to fraction form
    128,628.50/183,484 = 183,484/x
  3. Step 3: Cross multiply
    128,628.50x = 183,484 × 183,484
  4. Step 4: Simplify right side
    128,628.50x = 33,666,378,256
  5. Step 5: Solve for x
    x = 33,666,378,256/128,628.50
  6. Step 6: Final answer
    x = 261,733.43

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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.