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Finding the Third Proportional to 216,968 and 335,919

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Solution

The third proportional to 216,968 and 335,919 is: 520,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,968 : 335,919 = 335,919 : x
  2. Step 2: Convert to fraction form
    216,968/335,919 = 335,919/x
  3. Step 3: Cross multiply
    216,968x = 335,919 × 335,919
  4. Step 4: Simplify right side
    216,968x = 112,841,574,561
  5. Step 5: Solve for x
    x = 112,841,574,561/216,968
  6. Step 6: Final answer
    x = 520,083.95

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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.