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Finding the Third Proportional to 8,460,198 and 12,888,578

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Solution

The third proportional to 8,460,198 and 12,888,578 is: 19,634,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460,198 : 12,888,578 = 12,888,578 : x
  2. Step 2: Convert to fraction form
    8,460,198/12,888,578 = 12,888,578/x
  3. Step 3: Cross multiply
    8,460,198x = 12,888,578 × 12,888,578
  4. Step 4: Simplify right side
    8,460,198x = 166,115,442,862,084
  5. Step 5: Solve for x
    x = 166,115,442,862,084/8,460,198
  6. Step 6: Final answer
    x = 19,634,935.60

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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.