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Finding the Third Proportional to 760.50 and 1,600.50

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Solution

The third proportional to 760.50 and 1,600.50 is: 3,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.50 : 1,600.50 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    760.50/1,600.50 = 1,600.50/x
  3. Step 3: Cross multiply
    760.50x = 1,600.50 × 1,600.50
  4. Step 4: Simplify right side
    760.50x = 2,561,600.25
  5. Step 5: Solve for x
    x = 2,561,600.25/760.50
  6. Step 6: Final answer
    x = 3,368.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.