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Finding the Third Proportional to 104,501,380 and 164,766,742

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Solution

The third proportional to 104,501,380 and 164,766,742 is: 259,786,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,501,380 : 164,766,742 = 164,766,742 : x
  2. Step 2: Convert to fraction form
    104,501,380/164,766,742 = 164,766,742/x
  3. Step 3: Cross multiply
    104,501,380x = 164,766,742 × 164,766,742
  4. Step 4: Simplify right side
    104,501,380x = 27,148,079,269,294,564
  5. Step 5: Solve for x
    x = 27,148,079,269,294,564/104,501,380
  6. Step 6: Final answer
    x = 259,786,801.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.