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Finding the Third Proportional to 503.40 and 1,102.68

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Solution

The third proportional to 503.40 and 1,102.68 is: 2,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 1,102.68 = 1,102.68 : x
  2. Step 2: Convert to fraction form
    503.40/1,102.68 = 1,102.68/x
  3. Step 3: Cross multiply
    503.40x = 1,102.68 × 1,102.68
  4. Step 4: Simplify right side
    503.40x = 1,215,893.88
  5. Step 5: Solve for x
    x = 1,215,893.88/503.40
  6. Step 6: Final answer
    x = 2,415.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.