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Finding the Third Proportional to 290,861 and 608,073

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Solution

The third proportional to 290,861 and 608,073 is: 1,271,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,861 : 608,073 = 608,073 : x
  2. Step 2: Convert to fraction form
    290,861/608,073 = 608,073/x
  3. Step 3: Cross multiply
    290,861x = 608,073 × 608,073
  4. Step 4: Simplify right side
    290,861x = 369,752,773,329
  5. Step 5: Solve for x
    x = 369,752,773,329/290,861
  6. Step 6: Final answer
    x = 1,271,235.31

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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.