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Finding the Third Proportional to 217,530.56 and 471,345.75

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Solution

The third proportional to 217,530.56 and 471,345.75 is: 1,021,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,530.56 : 471,345.75 = 471,345.75 : x
  2. Step 2: Convert to fraction form
    217,530.56/471,345.75 = 471,345.75/x
  3. Step 3: Cross multiply
    217,530.56x = 471,345.75 × 471,345.75
  4. Step 4: Simplify right side
    217,530.56x = 222,166,816,043.06
  5. Step 5: Solve for x
    x = 222,166,816,043.06/217,530.56
  6. Step 6: Final answer
    x = 1,021,313.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.