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Finding the Third Proportional to 205,584,399 and 448,841,674.50

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Solution

The third proportional to 205,584,399 and 448,841,674.50 is: 979,932,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,584,399 : 448,841,674.50 = 448,841,674.50 : x
  2. Step 2: Convert to fraction form
    205,584,399/448,841,674.50 = 448,841,674.50/x
  3. Step 3: Cross multiply
    205,584,399x = 448,841,674.50 × 448,841,674.50
  4. Step 4: Simplify right side
    205,584,399x = 201,458,848,767,963,936
  5. Step 5: Solve for x
    x = 201,458,848,767,963,936/205,584,399
  6. Step 6: Final answer
    x = 979,932,571.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.