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Finding the Third Proportional to 217,083 and 335,465.25

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Solution

The third proportional to 217,083 and 335,465.25 is: 518,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,083 : 335,465.25 = 335,465.25 : x
  2. Step 2: Convert to fraction form
    217,083/335,465.25 = 335,465.25/x
  3. Step 3: Cross multiply
    217,083x = 335,465.25 × 335,465.25
  4. Step 4: Simplify right side
    217,083x = 112,536,933,957.56
  5. Step 5: Solve for x
    x = 112,536,933,957.56/217,083
  6. Step 6: Final answer
    x = 518,405.10

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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.