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Finding the Third Proportional to 20,954,292 and 31,509,420

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Solution

The third proportional to 20,954,292 and 31,509,420 is: 47,381,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954,292 : 31,509,420 = 31,509,420 : x
  2. Step 2: Convert to fraction form
    20,954,292/31,509,420 = 31,509,420/x
  3. Step 3: Cross multiply
    20,954,292x = 31,509,420 × 31,509,420
  4. Step 4: Simplify right side
    20,954,292x = 992,843,548,736,400
  5. Step 5: Solve for x
    x = 992,843,548,736,400/20,954,292
  6. Step 6: Final answer
    x = 47,381,393.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.