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Finding the Third Proportional to 299,747 and 627,208

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Solution

The third proportional to 299,747 and 627,208 is: 1,312,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,747 : 627,208 = 627,208 : x
  2. Step 2: Convert to fraction form
    299,747/627,208 = 627,208/x
  3. Step 3: Cross multiply
    299,747x = 627,208 × 627,208
  4. Step 4: Simplify right side
    299,747x = 393,389,875,264
  5. Step 5: Solve for x
    x = 393,389,875,264/299,747
  6. Step 6: Final answer
    x = 1,312,406.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.