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Finding the Third Proportional to 128,785.50 and 282,174

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Solution

The third proportional to 128,785.50 and 282,174 is: 618,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,785.50 : 282,174 = 282,174 : x
  2. Step 2: Convert to fraction form
    128,785.50/282,174 = 282,174/x
  3. Step 3: Cross multiply
    128,785.50x = 282,174 × 282,174
  4. Step 4: Simplify right side
    128,785.50x = 79,622,166,276
  5. Step 5: Solve for x
    x = 79,622,166,276/128,785.50
  6. Step 6: Final answer
    x = 618,254.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.