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Finding the Third Proportional to 290,818 and 608,121

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Solution

The third proportional to 290,818 and 608,121 is: 1,271,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,818 : 608,121 = 608,121 : x
  2. Step 2: Convert to fraction form
    290,818/608,121 = 608,121/x
  3. Step 3: Cross multiply
    290,818x = 608,121 × 608,121
  4. Step 4: Simplify right side
    290,818x = 369,811,150,641
  5. Step 5: Solve for x
    x = 369,811,150,641/290,818
  6. Step 6: Final answer
    x = 1,271,624.01

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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.