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Finding the Third Proportional to 5,171,778 and 8,185,239

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Solution

The third proportional to 5,171,778 and 8,185,239 is: 12,954,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171,778 : 8,185,239 = 8,185,239 : x
  2. Step 2: Convert to fraction form
    5,171,778/8,185,239 = 8,185,239/x
  3. Step 3: Cross multiply
    5,171,778x = 8,185,239 × 8,185,239
  4. Step 4: Simplify right side
    5,171,778x = 66,998,137,487,121
  5. Step 5: Solve for x
    x = 66,998,137,487,121/5,171,778
  6. Step 6: Final answer
    x = 12,954,565.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.