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Finding the Third Proportional to 287,876 and 608,970

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Solution

The third proportional to 287,876 and 608,970 is: 1,288,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,876 : 608,970 = 608,970 : x
  2. Step 2: Convert to fraction form
    287,876/608,970 = 608,970/x
  3. Step 3: Cross multiply
    287,876x = 608,970 × 608,970
  4. Step 4: Simplify right side
    287,876x = 370,844,460,900
  5. Step 5: Solve for x
    x = 370,844,460,900/287,876
  6. Step 6: Final answer
    x = 1,288,209.02

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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.