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Finding the Third Proportional to 216,716 and 287,557

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Solution

The third proportional to 216,716 and 287,557 is: 381,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,716 : 287,557 = 287,557 : x
  2. Step 2: Convert to fraction form
    216,716/287,557 = 287,557/x
  3. Step 3: Cross multiply
    216,716x = 287,557 × 287,557
  4. Step 4: Simplify right side
    216,716x = 82,689,028,249
  5. Step 5: Solve for x
    x = 82,689,028,249/216,716
  6. Step 6: Final answer
    x = 381,554.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.