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Finding the Third Proportional to 760.25 and 1,640.50

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Solution

The third proportional to 760.25 and 1,640.50 is: 3,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.25 : 1,640.50 = 1,640.50 : x
  2. Step 2: Convert to fraction form
    760.25/1,640.50 = 1,640.50/x
  3. Step 3: Cross multiply
    760.25x = 1,640.50 × 1,640.50
  4. Step 4: Simplify right side
    760.25x = 2,691,240.25
  5. Step 5: Solve for x
    x = 2,691,240.25/760.25
  6. Step 6: Final answer
    x = 3,539.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.