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Finding the Third Proportional to 478.73 and 977.67

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Solution

The third proportional to 478.73 and 977.67 is: 1,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.73 : 977.67 = 977.67 : x
  2. Step 2: Convert to fraction form
    478.73/977.67 = 977.67/x
  3. Step 3: Cross multiply
    478.73x = 977.67 × 977.67
  4. Step 4: Simplify right side
    478.73x = 955,842.30
  5. Step 5: Solve for x
    x = 955,842.30/478.73
  6. Step 6: Final answer
    x = 1,996.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.