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Finding the Third Proportional to 205,104 and 310,485.75

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Solution

The third proportional to 205,104 and 310,485.75 is: 470,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,104 : 310,485.75 = 310,485.75 : x
  2. Step 2: Convert to fraction form
    205,104/310,485.75 = 310,485.75/x
  3. Step 3: Cross multiply
    205,104x = 310,485.75 × 310,485.75
  4. Step 4: Simplify right side
    205,104x = 96,401,400,953.06
  5. Step 5: Solve for x
    x = 96,401,400,953.06/205,104
  6. Step 6: Final answer
    x = 470,012.29

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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.