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Finding the Third Proportional to 217,399.50 and 470,987.25

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Solution

The third proportional to 217,399.50 and 470,987.25 is: 1,020,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,399.50 : 470,987.25 = 470,987.25 : x
  2. Step 2: Convert to fraction form
    217,399.50/470,987.25 = 470,987.25/x
  3. Step 3: Cross multiply
    217,399.50x = 470,987.25 × 470,987.25
  4. Step 4: Simplify right side
    217,399.50x = 221,828,989,662.56
  5. Step 5: Solve for x
    x = 221,828,989,662.56/217,399.50
  6. Step 6: Final answer
    x = 1,020,374.88

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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.