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Finding the Third Proportional to 290,904 and 608,288

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Solution

The third proportional to 290,904 and 608,288 is: 1,271,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,904 : 608,288 = 608,288 : x
  2. Step 2: Convert to fraction form
    290,904/608,288 = 608,288/x
  3. Step 3: Cross multiply
    290,904x = 608,288 × 608,288
  4. Step 4: Simplify right side
    290,904x = 370,014,290,944
  5. Step 5: Solve for x
    x = 370,014,290,944/290,904
  6. Step 6: Final answer
    x = 1,271,946.38

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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.