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Finding the Third Proportional to 285,986 and 609,970

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Solution

The third proportional to 285,986 and 609,970 is: 1,300,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,986 : 609,970 = 609,970 : x
  2. Step 2: Convert to fraction form
    285,986/609,970 = 609,970/x
  3. Step 3: Cross multiply
    285,986x = 609,970 × 609,970
  4. Step 4: Simplify right side
    285,986x = 372,063,400,900
  5. Step 5: Solve for x
    x = 372,063,400,900/285,986
  6. Step 6: Final answer
    x = 1,300,984.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.