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Finding the Third Proportional to 299,748 and 627,206

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Solution

The third proportional to 299,748 and 627,206 is: 1,312,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,748 : 627,206 = 627,206 : x
  2. Step 2: Convert to fraction form
    299,748/627,206 = 627,206/x
  3. Step 3: Cross multiply
    299,748x = 627,206 × 627,206
  4. Step 4: Simplify right side
    299,748x = 393,387,366,436
  5. Step 5: Solve for x
    x = 393,387,366,436/299,748
  6. Step 6: Final answer
    x = 1,312,393.63

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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.