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Finding the Third Proportional to 276,726 and 415,090

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Solution

The third proportional to 276,726 and 415,090 is: 622,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,726 : 415,090 = 415,090 : x
  2. Step 2: Convert to fraction form
    276,726/415,090 = 415,090/x
  3. Step 3: Cross multiply
    276,726x = 415,090 × 415,090
  4. Step 4: Simplify right side
    276,726x = 172,299,708,100
  5. Step 5: Solve for x
    x = 172,299,708,100/276,726
  6. Step 6: Final answer
    x = 622,636.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.