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Finding the Third Proportional to 290,908 and 608,296

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Solution

The third proportional to 290,908 and 608,296 is: 1,271,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,908 : 608,296 = 608,296 : x
  2. Step 2: Convert to fraction form
    290,908/608,296 = 608,296/x
  3. Step 3: Cross multiply
    290,908x = 608,296 × 608,296
  4. Step 4: Simplify right side
    290,908x = 370,024,023,616
  5. Step 5: Solve for x
    x = 370,024,023,616/290,908
  6. Step 6: Final answer
    x = 1,271,962.35

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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.