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Finding the Third Proportional to 205,681 and 310,713

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Solution

The third proportional to 205,681 and 310,713 is: 469,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,681 : 310,713 = 310,713 : x
  2. Step 2: Convert to fraction form
    205,681/310,713 = 310,713/x
  3. Step 3: Cross multiply
    205,681x = 310,713 × 310,713
  4. Step 4: Simplify right side
    205,681x = 96,542,568,369
  5. Step 5: Solve for x
    x = 96,542,568,369/205,681
  6. Step 6: Final answer
    x = 469,380.10

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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.