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Finding the Third Proportional to 208,530 and 424,431

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Solution

The third proportional to 208,530 and 424,431 is: 863,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,530 : 424,431 = 424,431 : x
  2. Step 2: Convert to fraction form
    208,530/424,431 = 424,431/x
  3. Step 3: Cross multiply
    208,530x = 424,431 × 424,431
  4. Step 4: Simplify right side
    208,530x = 180,141,673,761
  5. Step 5: Solve for x
    x = 180,141,673,761/208,530
  6. Step 6: Final answer
    x = 863,864.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.