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Finding the Third Proportional to 760.71 and 1,640.04

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Solution

The third proportional to 760.71 and 1,640.04 is: 3,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.71 : 1,640.04 = 1,640.04 : x
  2. Step 2: Convert to fraction form
    760.71/1,640.04 = 1,640.04/x
  3. Step 3: Cross multiply
    760.71x = 1,640.04 × 1,640.04
  4. Step 4: Simplify right side
    760.71x = 2,689,728.13
  5. Step 5: Solve for x
    x = 2,689,728.13/760.71
  6. Step 6: Final answer
    x = 3,535.81

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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.