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Finding the Third Proportional to 287,660 and 627,224

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Solution

The third proportional to 287,660 and 627,224 is: 1,367,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,660 : 627,224 = 627,224 : x
  2. Step 2: Convert to fraction form
    287,660/627,224 = 627,224/x
  3. Step 3: Cross multiply
    287,660x = 627,224 × 627,224
  4. Step 4: Simplify right side
    287,660x = 393,409,946,176
  5. Step 5: Solve for x
    x = 393,409,946,176/287,660
  6. Step 6: Final answer
    x = 1,367,621.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.