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Finding the Third Proportional to 282,788 and 608,920

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Solution

The third proportional to 282,788 and 608,920 is: 1,311,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,788 : 608,920 = 608,920 : x
  2. Step 2: Convert to fraction form
    282,788/608,920 = 608,920/x
  3. Step 3: Cross multiply
    282,788x = 608,920 × 608,920
  4. Step 4: Simplify right side
    282,788x = 370,783,566,400
  5. Step 5: Solve for x
    x = 370,783,566,400/282,788
  6. Step 6: Final answer
    x = 1,311,171.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.