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Finding the Third Proportional to 200,884 and 310,830

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Solution

The third proportional to 200,884 and 310,830 is: 480,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,884 : 310,830 = 310,830 : x
  2. Step 2: Convert to fraction form
    200,884/310,830 = 310,830/x
  3. Step 3: Cross multiply
    200,884x = 310,830 × 310,830
  4. Step 4: Simplify right side
    200,884x = 96,615,288,900
  5. Step 5: Solve for x
    x = 96,615,288,900/200,884
  6. Step 6: Final answer
    x = 480,950.64

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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.