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Finding the Third Proportional to 312,963 and 670,209

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Solution

The third proportional to 312,963 and 670,209 is: 1,435,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,963 : 670,209 = 670,209 : x
  2. Step 2: Convert to fraction form
    312,963/670,209 = 670,209/x
  3. Step 3: Cross multiply
    312,963x = 670,209 × 670,209
  4. Step 4: Simplify right side
    312,963x = 449,180,103,681
  5. Step 5: Solve for x
    x = 449,180,103,681/312,963
  6. Step 6: Final answer
    x = 1,435,249.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.