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Finding the Third Proportional to 290,610 and 444,368

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Solution

The third proportional to 290,610 and 444,368 is: 679,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,610 : 444,368 = 444,368 : x
  2. Step 2: Convert to fraction form
    290,610/444,368 = 444,368/x
  3. Step 3: Cross multiply
    290,610x = 444,368 × 444,368
  4. Step 4: Simplify right side
    290,610x = 197,462,919,424
  5. Step 5: Solve for x
    x = 197,462,919,424/290,610
  6. Step 6: Final answer
    x = 679,477.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.