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Finding the Third Proportional to 46,070 and 72,189

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Solution

The third proportional to 46,070 and 72,189 is: 113,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,070 : 72,189 = 72,189 : x
  2. Step 2: Convert to fraction form
    46,070/72,189 = 72,189/x
  3. Step 3: Cross multiply
    46,070x = 72,189 × 72,189
  4. Step 4: Simplify right side
    46,070x = 5,211,251,721
  5. Step 5: Solve for x
    x = 5,211,251,721/46,070
  6. Step 6: Final answer
    x = 113,115.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.