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Finding the Third Proportional to 200,560 and 310,921

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Solution

The third proportional to 200,560 and 310,921 is: 482,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,560 : 310,921 = 310,921 : x
  2. Step 2: Convert to fraction form
    200,560/310,921 = 310,921/x
  3. Step 3: Cross multiply
    200,560x = 310,921 × 310,921
  4. Step 4: Simplify right side
    200,560x = 96,671,868,241
  5. Step 5: Solve for x
    x = 96,671,868,241/200,560
  6. Step 6: Final answer
    x = 482,009.71

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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.