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Finding the Third Proportional to 74,511 and 112,729.50

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Solution

The third proportional to 74,511 and 112,729.50 is: 170,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,511 : 112,729.50 = 112,729.50 : x
  2. Step 2: Convert to fraction form
    74,511/112,729.50 = 112,729.50/x
  3. Step 3: Cross multiply
    74,511x = 112,729.50 × 112,729.50
  4. Step 4: Simplify right side
    74,511x = 12,707,940,170.25
  5. Step 5: Solve for x
    x = 12,707,940,170.25/74,511
  6. Step 6: Final answer
    x = 170,551.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.