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Finding the Third Proportional to 8,252.63 and 12,784.13

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Solution

The third proportional to 8,252.63 and 12,784.13 is: 19,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.63 : 12,784.13 = 12,784.13 : x
  2. Step 2: Convert to fraction form
    8,252.63/12,784.13 = 12,784.13/x
  3. Step 3: Cross multiply
    8,252.63x = 12,784.13 × 12,784.13
  4. Step 4: Simplify right side
    8,252.63x = 163,433,852.02
  5. Step 5: Solve for x
    x = 163,433,852.02/8,252.63
  6. Step 6: Final answer
    x = 19,803.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.