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Finding the Third Proportional to 287,863.88 and 608,942.81

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Solution

The third proportional to 287,863.88 and 608,942.81 is: 1,288,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,863.88 : 608,942.81 = 608,942.81 : x
  2. Step 2: Convert to fraction form
    287,863.88/608,942.81 = 608,942.81/x
  3. Step 3: Cross multiply
    287,863.88x = 608,942.81 × 608,942.81
  4. Step 4: Simplify right side
    287,863.88x = 370,811,348,895.41
  5. Step 5: Solve for x
    x = 370,811,348,895.41/287,863.88
  6. Step 6: Final answer
    x = 1,288,148.26

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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.