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Finding the Third Proportional to 74,418 and 101,053.50

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Solution

The third proportional to 74,418 and 101,053.50 is: 137,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,418 : 101,053.50 = 101,053.50 : x
  2. Step 2: Convert to fraction form
    74,418/101,053.50 = 101,053.50/x
  3. Step 3: Cross multiply
    74,418x = 101,053.50 × 101,053.50
  4. Step 4: Simplify right side
    74,418x = 10,211,809,862.25
  5. Step 5: Solve for x
    x = 10,211,809,862.25/74,418
  6. Step 6: Final answer
    x = 137,222.31

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.