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Finding the Third Proportional to 5,457 and 10,779

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Solution

The third proportional to 5,457 and 10,779 is: 21,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457 : 10,779 = 10,779 : x
  2. Step 2: Convert to fraction form
    5,457/10,779 = 10,779/x
  3. Step 3: Cross multiply
    5,457x = 10,779 × 10,779
  4. Step 4: Simplify right side
    5,457x = 116,186,841
  5. Step 5: Solve for x
    x = 116,186,841/5,457
  6. Step 6: Final answer
    x = 21,291.34

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.