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Finding the Third Proportional to 479.53 and 1,010.74

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Solution

The third proportional to 479.53 and 1,010.74 is: 2,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.53 : 1,010.74 = 1,010.74 : x
  2. Step 2: Convert to fraction form
    479.53/1,010.74 = 1,010.74/x
  3. Step 3: Cross multiply
    479.53x = 1,010.74 × 1,010.74
  4. Step 4: Simplify right side
    479.53x = 1,021,599.77
  5. Step 5: Solve for x
    x = 1,021,599.77/479.53
  6. Step 6: Final answer
    x = 2,130.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.