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Finding the Third Proportional to 13,866,312 and 30,919,092

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Solution

The third proportional to 13,866,312 and 30,919,092 is: 68,943,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866,312 : 30,919,092 = 30,919,092 : x
  2. Step 2: Convert to fraction form
    13,866,312/30,919,092 = 30,919,092/x
  3. Step 3: Cross multiply
    13,866,312x = 30,919,092 × 30,919,092
  4. Step 4: Simplify right side
    13,866,312x = 955,990,250,104,464
  5. Step 5: Solve for x
    x = 955,990,250,104,464/13,866,312
  6. Step 6: Final answer
    x = 68,943,367.93

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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.