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Finding the Third Proportional to 12,782,731.50 and 17,979,873.75

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Solution

The third proportional to 12,782,731.50 and 17,979,873.75 is: 25,290,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782,731.50 : 17,979,873.75 = 17,979,873.75 : x
  2. Step 2: Convert to fraction form
    12,782,731.50/17,979,873.75 = 17,979,873.75/x
  3. Step 3: Cross multiply
    12,782,731.50x = 17,979,873.75 × 17,979,873.75
  4. Step 4: Simplify right side
    12,782,731.50x = 323,275,860,065,939.06
  5. Step 5: Solve for x
    x = 323,275,860,065,939.06/12,782,731.50
  6. Step 6: Final answer
    x = 25,290,045.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.