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Finding the Third Proportional to 216,772 and 289,948

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Solution

The third proportional to 216,772 and 289,948 is: 387,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,772 : 289,948 = 289,948 : x
  2. Step 2: Convert to fraction form
    216,772/289,948 = 289,948/x
  3. Step 3: Cross multiply
    216,772x = 289,948 × 289,948
  4. Step 4: Simplify right side
    216,772x = 84,069,842,704
  5. Step 5: Solve for x
    x = 84,069,842,704/216,772
  6. Step 6: Final answer
    x = 387,826.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.