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Finding the Third Proportional to 5,022,498 and 10,901,206.50

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Solution

The third proportional to 5,022,498 and 10,901,206.50 is: 23,660,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022,498 : 10,901,206.50 = 10,901,206.50 : x
  2. Step 2: Convert to fraction form
    5,022,498/10,901,206.50 = 10,901,206.50/x
  3. Step 3: Cross multiply
    5,022,498x = 10,901,206.50 × 10,901,206.50
  4. Step 4: Simplify right side
    5,022,498x = 118,836,303,155,642.25
  5. Step 5: Solve for x
    x = 118,836,303,155,642.25/5,022,498
  6. Step 6: Final answer
    x = 23,660,796.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.