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Finding the Third Proportional to 8,178.47 and 12,587.91

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Solution

The third proportional to 8,178.47 and 12,587.91 is: 19,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.47 : 12,587.91 = 12,587.91 : x
  2. Step 2: Convert to fraction form
    8,178.47/12,587.91 = 12,587.91/x
  3. Step 3: Cross multiply
    8,178.47x = 12,587.91 × 12,587.91
  4. Step 4: Simplify right side
    8,178.47x = 158,455,383.76
  5. Step 5: Solve for x
    x = 158,455,383.76/8,178.47
  6. Step 6: Final answer
    x = 19,374.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.