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Finding the Third Proportional to 205,918.50 and 307,071

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Solution

The third proportional to 205,918.50 and 307,071 is: 457,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,918.50 : 307,071 = 307,071 : x
  2. Step 2: Convert to fraction form
    205,918.50/307,071 = 307,071/x
  3. Step 3: Cross multiply
    205,918.50x = 307,071 × 307,071
  4. Step 4: Simplify right side
    205,918.50x = 94,292,599,041
  5. Step 5: Solve for x
    x = 94,292,599,041/205,918.50
  6. Step 6: Final answer
    x = 457,912.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.