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Finding the Third Proportional to 208,362 and 311,172

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Solution

The third proportional to 208,362 and 311,172 is: 464,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,362 : 311,172 = 311,172 : x
  2. Step 2: Convert to fraction form
    208,362/311,172 = 311,172/x
  3. Step 3: Cross multiply
    208,362x = 311,172 × 311,172
  4. Step 4: Simplify right side
    208,362x = 96,828,013,584
  5. Step 5: Solve for x
    x = 96,828,013,584/208,362
  6. Step 6: Final answer
    x = 464,710.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.