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Finding the Third Proportional to 489.56 and 836.91

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Solution

The third proportional to 489.56 and 836.91 is: 1,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.56 : 836.91 = 836.91 : x
  2. Step 2: Convert to fraction form
    489.56/836.91 = 836.91/x
  3. Step 3: Cross multiply
    489.56x = 836.91 × 836.91
  4. Step 4: Simplify right side
    489.56x = 700,412.07
  5. Step 5: Solve for x
    x = 700,412.07/489.56
  6. Step 6: Final answer
    x = 1,430.69

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.