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Finding the Third Proportional to 200,840 and 310,974

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Solution

The third proportional to 200,840 and 310,974 is: 481,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,840 : 310,974 = 310,974 : x
  2. Step 2: Convert to fraction form
    200,840/310,974 = 310,974/x
  3. Step 3: Cross multiply
    200,840x = 310,974 × 310,974
  4. Step 4: Simplify right side
    200,840x = 96,704,828,676
  5. Step 5: Solve for x
    x = 96,704,828,676/200,840
  6. Step 6: Final answer
    x = 481,501.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.