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Finding the Third Proportional to 1,703.03 and 3,652.40

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Solution

The third proportional to 1,703.03 and 3,652.40 is: 7,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.03 : 3,652.40 = 3,652.40 : x
  2. Step 2: Convert to fraction form
    1,703.03/3,652.40 = 3,652.40/x
  3. Step 3: Cross multiply
    1,703.03x = 3,652.40 × 3,652.40
  4. Step 4: Simplify right side
    1,703.03x = 13,340,032.63
  5. Step 5: Solve for x
    x = 13,340,032.63/1,703.03
  6. Step 6: Final answer
    x = 7,833.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.