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Finding the Third Proportional to 6,216 and 6,877.50

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Solution

The third proportional to 6,216 and 6,877.50 is: 7,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216 : 6,877.50 = 6,877.50 : x
  2. Step 2: Convert to fraction form
    6,216/6,877.50 = 6,877.50/x
  3. Step 3: Cross multiply
    6,216x = 6,877.50 × 6,877.50
  4. Step 4: Simplify right side
    6,216x = 47,300,006.25
  5. Step 5: Solve for x
    x = 47,300,006.25/6,216
  6. Step 6: Final answer
    x = 7,609.40

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.