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Finding the Third Proportional to 208,268 and 304,507

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Solution

The third proportional to 208,268 and 304,507 is: 445,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268 : 304,507 = 304,507 : x
  2. Step 2: Convert to fraction form
    208,268/304,507 = 304,507/x
  3. Step 3: Cross multiply
    208,268x = 304,507 × 304,507
  4. Step 4: Simplify right side
    208,268x = 92,724,513,049
  5. Step 5: Solve for x
    x = 92,724,513,049/208,268
  6. Step 6: Final answer
    x = 445,217.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.