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Finding the Third Proportional to 990,208 and 1,509,920

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Solution

The third proportional to 990,208 and 1,509,920 is: 2,302,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,208 : 1,509,920 = 1,509,920 : x
  2. Step 2: Convert to fraction form
    990,208/1,509,920 = 1,509,920/x
  3. Step 3: Cross multiply
    990,208x = 1,509,920 × 1,509,920
  4. Step 4: Simplify right side
    990,208x = 2,279,858,406,400
  5. Step 5: Solve for x
    x = 2,279,858,406,400/990,208
  6. Step 6: Final answer
    x = 2,302,403.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.