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Finding the Third Proportional to 137,295 and 320,760

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Solution

The third proportional to 137,295 and 320,760 is: 749,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,295 : 320,760 = 320,760 : x
  2. Step 2: Convert to fraction form
    137,295/320,760 = 320,760/x
  3. Step 3: Cross multiply
    137,295x = 320,760 × 320,760
  4. Step 4: Simplify right side
    137,295x = 102,886,977,600
  5. Step 5: Solve for x
    x = 102,886,977,600/137,295
  6. Step 6: Final answer
    x = 749,386.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.