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Finding the Third Proportional to 6,415 and 9,640

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Solution

The third proportional to 6,415 and 9,640 is: 14,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 9,640 = 9,640 : x
  2. Step 2: Convert to fraction form
    6,415/9,640 = 9,640/x
  3. Step 3: Cross multiply
    6,415x = 9,640 × 9,640
  4. Step 4: Simplify right side
    6,415x = 92,929,600
  5. Step 5: Solve for x
    x = 92,929,600/6,415
  6. Step 6: Final answer
    x = 14,486.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.