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Finding the Third Proportional to 12,382,980 and 19,134,854

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Solution

The third proportional to 12,382,980 and 19,134,854 is: 29,568,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382,980 : 19,134,854 = 19,134,854 : x
  2. Step 2: Convert to fraction form
    12,382,980/19,134,854 = 19,134,854/x
  3. Step 3: Cross multiply
    12,382,980x = 19,134,854 × 19,134,854
  4. Step 4: Simplify right side
    12,382,980x = 366,142,637,601,316
  5. Step 5: Solve for x
    x = 366,142,637,601,316/12,382,980
  6. Step 6: Final answer
    x = 29,568,216.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.