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Finding the Third Proportional to 69,211,422 and 149,365,890

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Solution

The third proportional to 69,211,422 and 149,365,890 is: 322,348,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,211,422 : 149,365,890 = 149,365,890 : x
  2. Step 2: Convert to fraction form
    69,211,422/149,365,890 = 149,365,890/x
  3. Step 3: Cross multiply
    69,211,422x = 149,365,890 × 149,365,890
  4. Step 4: Simplify right side
    69,211,422x = 22,310,169,095,492,100
  5. Step 5: Solve for x
    x = 22,310,169,095,492,100/69,211,422
  6. Step 6: Final answer
    x = 322,348,081.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.