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Finding the Third Proportional to 276,985 and 612,097

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Solution

The third proportional to 276,985 and 612,097 is: 1,352,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,985 : 612,097 = 612,097 : x
  2. Step 2: Convert to fraction form
    276,985/612,097 = 612,097/x
  3. Step 3: Cross multiply
    276,985x = 612,097 × 612,097
  4. Step 4: Simplify right side
    276,985x = 374,662,737,409
  5. Step 5: Solve for x
    x = 374,662,737,409/276,985
  6. Step 6: Final answer
    x = 1,352,646.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.