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Finding the Third Proportional to 8,415.54 and 12,798.16

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Solution

The third proportional to 8,415.54 and 12,798.16 is: 19,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.54 : 12,798.16 = 12,798.16 : x
  2. Step 2: Convert to fraction form
    8,415.54/12,798.16 = 12,798.16/x
  3. Step 3: Cross multiply
    8,415.54x = 12,798.16 × 12,798.16
  4. Step 4: Simplify right side
    8,415.54x = 163,792,853.39
  5. Step 5: Solve for x
    x = 163,792,853.39/8,415.54
  6. Step 6: Final answer
    x = 19,463.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.