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Finding the Third Proportional to 6,511 and 7,117

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Solution

The third proportional to 6,511 and 7,117 is: 7,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511 : 7,117 = 7,117 : x
  2. Step 2: Convert to fraction form
    6,511/7,117 = 7,117/x
  3. Step 3: Cross multiply
    6,511x = 7,117 × 7,117
  4. Step 4: Simplify right side
    6,511x = 50,651,689
  5. Step 5: Solve for x
    x = 50,651,689/6,511
  6. Step 6: Final answer
    x = 7,779.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.