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Finding the Third Proportional to 76,456 and 103,260

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Solution

The third proportional to 76,456 and 103,260 is: 139,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,456 : 103,260 = 103,260 : x
  2. Step 2: Convert to fraction form
    76,456/103,260 = 103,260/x
  3. Step 3: Cross multiply
    76,456x = 103,260 × 103,260
  4. Step 4: Simplify right side
    76,456x = 10,662,627,600
  5. Step 5: Solve for x
    x = 10,662,627,600/76,456
  6. Step 6: Final answer
    x = 139,460.97

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.