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Finding the Third Proportional to 200,718 and 310,689

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Solution

The third proportional to 200,718 and 310,689 is: 480,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718 : 310,689 = 310,689 : x
  2. Step 2: Convert to fraction form
    200,718/310,689 = 310,689/x
  3. Step 3: Cross multiply
    200,718x = 310,689 × 310,689
  4. Step 4: Simplify right side
    200,718x = 96,527,654,721
  5. Step 5: Solve for x
    x = 96,527,654,721/200,718
  6. Step 6: Final answer
    x = 480,911.80

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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.