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Finding the Third Proportional to 205,133 and 310,433

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Solution

The third proportional to 205,133 and 310,433 is: 469,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,133 : 310,433 = 310,433 : x
  2. Step 2: Convert to fraction form
    205,133/310,433 = 310,433/x
  3. Step 3: Cross multiply
    205,133x = 310,433 × 310,433
  4. Step 4: Simplify right side
    205,133x = 96,368,647,489
  5. Step 5: Solve for x
    x = 96,368,647,489/205,133
  6. Step 6: Final answer
    x = 469,786.18

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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.