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Finding the Third Proportional to 287,378 and 620,644

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Solution

The third proportional to 287,378 and 620,644 is: 1,340,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,378 : 620,644 = 620,644 : x
  2. Step 2: Convert to fraction form
    287,378/620,644 = 620,644/x
  3. Step 3: Cross multiply
    287,378x = 620,644 × 620,644
  4. Step 4: Simplify right side
    287,378x = 385,198,974,736
  5. Step 5: Solve for x
    x = 385,198,974,736/287,378
  6. Step 6: Final answer
    x = 1,340,391.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.