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Finding the Third Proportional to 128,600.16 and 282,100.22

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Solution

The third proportional to 128,600.16 and 282,100.22 is: 618,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,600.16 : 282,100.22 = 282,100.22 : x
  2. Step 2: Convert to fraction form
    128,600.16/282,100.22 = 282,100.22/x
  3. Step 3: Cross multiply
    128,600.16x = 282,100.22 × 282,100.22
  4. Step 4: Simplify right side
    128,600.16x = 79,580,533,418.80
  5. Step 5: Solve for x
    x = 79,580,533,418.80/128,600.16
  6. Step 6: Final answer
    x = 618,821.44

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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.