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Finding the Third Proportional to 312,435 and 647,025

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Solution

The third proportional to 312,435 and 647,025 is: 1,339,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,435 : 647,025 = 647,025 : x
  2. Step 2: Convert to fraction form
    312,435/647,025 = 647,025/x
  3. Step 3: Cross multiply
    312,435x = 647,025 × 647,025
  4. Step 4: Simplify right side
    312,435x = 418,641,350,625
  5. Step 5: Solve for x
    x = 418,641,350,625/312,435
  6. Step 6: Final answer
    x = 1,339,931.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.