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Finding the Third Proportional to 137,265.50 and 320,686.50

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Solution

The third proportional to 137,265.50 and 320,686.50 is: 749,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,265.50 : 320,686.50 = 320,686.50 : x
  2. Step 2: Convert to fraction form
    137,265.50/320,686.50 = 320,686.50/x
  3. Step 3: Cross multiply
    137,265.50x = 320,686.50 × 320,686.50
  4. Step 4: Simplify right side
    137,265.50x = 102,839,831,282.25
  5. Step 5: Solve for x
    x = 102,839,831,282.25/137,265.50
  6. Step 6: Final answer
    x = 749,203.78

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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.