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Finding the Third Proportional to 217,945 and 470,294

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Solution

The third proportional to 217,945 and 470,294 is: 1,014,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,945 : 470,294 = 470,294 : x
  2. Step 2: Convert to fraction form
    217,945/470,294 = 470,294/x
  3. Step 3: Cross multiply
    217,945x = 470,294 × 470,294
  4. Step 4: Simplify right side
    217,945x = 221,176,446,436
  5. Step 5: Solve for x
    x = 221,176,446,436/217,945
  6. Step 6: Final answer
    x = 1,014,826.89

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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.