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Finding the Third Proportional to 205,692 and 310,731

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Solution

The third proportional to 205,692 and 310,731 is: 469,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,692 : 310,731 = 310,731 : x
  2. Step 2: Convert to fraction form
    205,692/310,731 = 310,731/x
  3. Step 3: Cross multiply
    205,692x = 310,731 × 310,731
  4. Step 4: Simplify right side
    205,692x = 96,553,754,361
  5. Step 5: Solve for x
    x = 96,553,754,361/205,692
  6. Step 6: Final answer
    x = 469,409.38

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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.