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Finding the Third Proportional to 206,924 and 316,403

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Solution

The third proportional to 206,924 and 316,403 is: 483,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,924 : 316,403 = 316,403 : x
  2. Step 2: Convert to fraction form
    206,924/316,403 = 316,403/x
  3. Step 3: Cross multiply
    206,924x = 316,403 × 316,403
  4. Step 4: Simplify right side
    206,924x = 100,110,858,409
  5. Step 5: Solve for x
    x = 100,110,858,409/206,924
  6. Step 6: Final answer
    x = 483,804.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.