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Finding the Third Proportional to 7,867,258 and 12,150,319

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Solution

The third proportional to 7,867,258 and 12,150,319 is: 18,765,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,258 : 12,150,319 = 12,150,319 : x
  2. Step 2: Convert to fraction form
    7,867,258/12,150,319 = 12,150,319/x
  3. Step 3: Cross multiply
    7,867,258x = 12,150,319 × 12,150,319
  4. Step 4: Simplify right side
    7,867,258x = 147,630,251,801,761
  5. Step 5: Solve for x
    x = 147,630,251,801,761/7,867,258
  6. Step 6: Final answer
    x = 18,765,146.87

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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.