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Finding the Third Proportional to 74,406 and 104,076

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Solution

The third proportional to 74,406 and 104,076 is: 145,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,406 : 104,076 = 104,076 : x
  2. Step 2: Convert to fraction form
    74,406/104,076 = 104,076/x
  3. Step 3: Cross multiply
    74,406x = 104,076 × 104,076
  4. Step 4: Simplify right side
    74,406x = 10,831,813,776
  5. Step 5: Solve for x
    x = 10,831,813,776/74,406
  6. Step 6: Final answer
    x = 145,577.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.