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Finding the Third Proportional to 477.14 and 683.86

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Solution

The third proportional to 477.14 and 683.86 is: 980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 683.86 = 683.86 : x
  2. Step 2: Convert to fraction form
    477.14/683.86 = 683.86/x
  3. Step 3: Cross multiply
    477.14x = 683.86 × 683.86
  4. Step 4: Simplify right side
    477.14x = 467,663.64
  5. Step 5: Solve for x
    x = 467,663.64/477.14
  6. Step 6: Final answer
    x = 980.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.