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Finding the Third Proportional to 217,899.56 and 470,811.38

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Solution

The third proportional to 217,899.56 and 470,811.38 is: 1,017,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,899.56 : 470,811.38 = 470,811.38 : x
  2. Step 2: Convert to fraction form
    217,899.56/470,811.38 = 470,811.38/x
  3. Step 3: Cross multiply
    217,899.56x = 470,811.38 × 470,811.38
  4. Step 4: Simplify right side
    217,899.56x = 221,663,350,829.39
  5. Step 5: Solve for x
    x = 221,663,350,829.39/217,899.56
  6. Step 6: Final answer
    x = 1,017,273.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.