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Finding the Third Proportional to 69,211,426 and 149,365,898

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Solution

The third proportional to 69,211,426 and 149,365,898 is: 322,348,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,211,426 : 149,365,898 = 149,365,898 : x
  2. Step 2: Convert to fraction form
    69,211,426/149,365,898 = 149,365,898/x
  3. Step 3: Cross multiply
    69,211,426x = 149,365,898 × 149,365,898
  4. Step 4: Simplify right side
    69,211,426x = 22,310,171,485,346,404
  5. Step 5: Solve for x
    x = 22,310,171,485,346,404/69,211,426
  6. Step 6: Final answer
    x = 322,348,097.34

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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.