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Finding the Third Proportional to 299,712 and 627,132

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Solution

The third proportional to 299,712 and 627,132 is: 1,312,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712 : 627,132 = 627,132 : x
  2. Step 2: Convert to fraction form
    299,712/627,132 = 627,132/x
  3. Step 3: Cross multiply
    299,712x = 627,132 × 627,132
  4. Step 4: Simplify right side
    299,712x = 393,294,545,424
  5. Step 5: Solve for x
    x = 393,294,545,424/299,712
  6. Step 6: Final answer
    x = 1,312,241.57

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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.