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Finding the Third Proportional to 838.55 and 1,303.17

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Solution

The third proportional to 838.55 and 1,303.17 is: 2,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.55 : 1,303.17 = 1,303.17 : x
  2. Step 2: Convert to fraction form
    838.55/1,303.17 = 1,303.17/x
  3. Step 3: Cross multiply
    838.55x = 1,303.17 × 1,303.17
  4. Step 4: Simplify right side
    838.55x = 1,698,256.94
  5. Step 5: Solve for x
    x = 1,698,256.94/838.55
  6. Step 6: Final answer
    x = 2,025.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.