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Finding the Third Proportional to 290,450 and 607,036

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Solution

The third proportional to 290,450 and 607,036 is: 1,268,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,450 : 607,036 = 607,036 : x
  2. Step 2: Convert to fraction form
    290,450/607,036 = 607,036/x
  3. Step 3: Cross multiply
    290,450x = 607,036 × 607,036
  4. Step 4: Simplify right side
    290,450x = 368,492,705,296
  5. Step 5: Solve for x
    x = 368,492,705,296/290,450
  6. Step 6: Final answer
    x = 1,268,695.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.