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Finding the Third Proportional to 577,086 and 990,182

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Solution

The third proportional to 577,086 and 990,182 is: 1,698,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,086 : 990,182 = 990,182 : x
  2. Step 2: Convert to fraction form
    577,086/990,182 = 990,182/x
  3. Step 3: Cross multiply
    577,086x = 990,182 × 990,182
  4. Step 4: Simplify right side
    577,086x = 980,460,393,124
  5. Step 5: Solve for x
    x = 980,460,393,124/577,086
  6. Step 6: Final answer
    x = 1,698,984.89

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.