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Finding the Third Proportional to 2,970 and 6,415.88

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Solution

The third proportional to 2,970 and 6,415.88 is: 13,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970 : 6,415.88 = 6,415.88 : x
  2. Step 2: Convert to fraction form
    2,970/6,415.88 = 6,415.88/x
  3. Step 3: Cross multiply
    2,970x = 6,415.88 × 6,415.88
  4. Step 4: Simplify right side
    2,970x = 41,163,452.02
  5. Step 5: Solve for x
    x = 41,163,452.02/2,970
  6. Step 6: Final answer
    x = 13,859.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.