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Finding the Third Proportional to 6,399 and 14,812.88

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Solution

The third proportional to 6,399 and 14,812.88 is: 34,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399 : 14,812.88 = 14,812.88 : x
  2. Step 2: Convert to fraction form
    6,399/14,812.88 = 14,812.88/x
  3. Step 3: Cross multiply
    6,399x = 14,812.88 × 14,812.88
  4. Step 4: Simplify right side
    6,399x = 219,421,265.77
  5. Step 5: Solve for x
    x = 219,421,265.77/6,399
  6. Step 6: Final answer
    x = 34,289.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.