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Finding the Third Proportional to 205,969.78 and 311,859.28

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Solution

The third proportional to 205,969.78 and 311,859.28 is: 472,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,969.78 : 311,859.28 = 311,859.28 : x
  2. Step 2: Convert to fraction form
    205,969.78/311,859.28 = 311,859.28/x
  3. Step 3: Cross multiply
    205,969.78x = 311,859.28 × 311,859.28
  4. Step 4: Simplify right side
    205,969.78x = 97,256,211,301.77
  5. Step 5: Solve for x
    x = 97,256,211,301.77/205,969.78
  6. Step 6: Final answer
    x = 472,186.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.