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Finding the Third Proportional to 6,415 and 7,819

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Solution

The third proportional to 6,415 and 7,819 is: 9,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 7,819 = 7,819 : x
  2. Step 2: Convert to fraction form
    6,415/7,819 = 7,819/x
  3. Step 3: Cross multiply
    6,415x = 7,819 × 7,819
  4. Step 4: Simplify right side
    6,415x = 61,136,761
  5. Step 5: Solve for x
    x = 61,136,761/6,415
  6. Step 6: Final answer
    x = 9,530.28

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.