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Finding the Third Proportional to 213,654 and 317,187

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Solution

The third proportional to 213,654 and 317,187 is: 470,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,654 : 317,187 = 317,187 : x
  2. Step 2: Convert to fraction form
    213,654/317,187 = 317,187/x
  3. Step 3: Cross multiply
    213,654x = 317,187 × 317,187
  4. Step 4: Simplify right side
    213,654x = 100,607,592,969
  5. Step 5: Solve for x
    x = 100,607,592,969/213,654
  6. Step 6: Final answer
    x = 470,890.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.