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Finding the Third Proportional to 990,144 and 2,122,393.63

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Solution

The third proportional to 990,144 and 2,122,393.63 is: 4,549,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,144 : 2,122,393.63 = 2,122,393.63 : x
  2. Step 2: Convert to fraction form
    990,144/2,122,393.63 = 2,122,393.63/x
  3. Step 3: Cross multiply
    990,144x = 2,122,393.63 × 2,122,393.63
  4. Step 4: Simplify right side
    990,144x = 4,504,554,699,440.64
  5. Step 5: Solve for x
    x = 4,504,554,699,440.64/990,144
  6. Step 6: Final answer
    x = 4,549,393.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.