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Finding the Third Proportional to 290,362 and 442,924

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Solution

The third proportional to 290,362 and 442,924 is: 675,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,362 : 442,924 = 442,924 : x
  2. Step 2: Convert to fraction form
    290,362/442,924 = 442,924/x
  3. Step 3: Cross multiply
    290,362x = 442,924 × 442,924
  4. Step 4: Simplify right side
    290,362x = 196,181,669,776
  5. Step 5: Solve for x
    x = 196,181,669,776/290,362
  6. Step 6: Final answer
    x = 675,645.12

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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.