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Finding the Third Proportional to 206,721 and 310,078

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Solution

The third proportional to 206,721 and 310,078 is: 465,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,721 : 310,078 = 310,078 : x
  2. Step 2: Convert to fraction form
    206,721/310,078 = 310,078/x
  3. Step 3: Cross multiply
    206,721x = 310,078 × 310,078
  4. Step 4: Simplify right side
    206,721x = 96,148,366,084
  5. Step 5: Solve for x
    x = 96,148,366,084/206,721
  6. Step 6: Final answer
    x = 465,111.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.