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Finding the Third Proportional to 73,012 and 105,508

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Solution

The third proportional to 73,012 and 105,508 is: 152,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,012 : 105,508 = 105,508 : x
  2. Step 2: Convert to fraction form
    73,012/105,508 = 105,508/x
  3. Step 3: Cross multiply
    73,012x = 105,508 × 105,508
  4. Step 4: Simplify right side
    73,012x = 11,131,938,064
  5. Step 5: Solve for x
    x = 11,131,938,064/73,012
  6. Step 6: Final answer
    x = 152,467.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.