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Finding the Third Proportional to 13,866,344 and 30,919,148

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Solution

The third proportional to 13,866,344 and 30,919,148 is: 68,943,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866,344 : 30,919,148 = 30,919,148 : x
  2. Step 2: Convert to fraction form
    13,866,344/30,919,148 = 30,919,148/x
  3. Step 3: Cross multiply
    13,866,344x = 30,919,148 × 30,919,148
  4. Step 4: Simplify right side
    13,866,344x = 955,993,713,045,904
  5. Step 5: Solve for x
    x = 955,993,713,045,904/13,866,344
  6. Step 6: Final answer
    x = 68,943,458.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.