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Finding the Third Proportional to 106,820 and 163,919

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Solution

The third proportional to 106,820 and 163,919 is: 251,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820 : 163,919 = 163,919 : x
  2. Step 2: Convert to fraction form
    106,820/163,919 = 163,919/x
  3. Step 3: Cross multiply
    106,820x = 163,919 × 163,919
  4. Step 4: Simplify right side
    106,820x = 26,869,438,561
  5. Step 5: Solve for x
    x = 26,869,438,561/106,820
  6. Step 6: Final answer
    x = 251,539.40

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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.