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Finding the Third Proportional to 287,881 and 608,977

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Solution

The third proportional to 287,881 and 608,977 is: 1,288,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,881 : 608,977 = 608,977 : x
  2. Step 2: Convert to fraction form
    287,881/608,977 = 608,977/x
  3. Step 3: Cross multiply
    287,881x = 608,977 × 608,977
  4. Step 4: Simplify right side
    287,881x = 370,852,986,529
  5. Step 5: Solve for x
    x = 370,852,986,529/287,881
  6. Step 6: Final answer
    x = 1,288,216.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.