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Finding the Third Proportional to 5,509,968.75 and 12,866,712.75

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Solution

The third proportional to 5,509,968.75 and 12,866,712.75 is: 30,045,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,968.75 : 12,866,712.75 = 12,866,712.75 : x
  2. Step 2: Convert to fraction form
    5,509,968.75/12,866,712.75 = 12,866,712.75/x
  3. Step 3: Cross multiply
    5,509,968.75x = 12,866,712.75 × 12,866,712.75
  4. Step 4: Simplify right side
    5,509,968.75x = 165,552,296,991,012.56
  5. Step 5: Solve for x
    x = 165,552,296,991,012.56/5,509,968.75
  6. Step 6: Final answer
    x = 30,045,959.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.