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Finding the Third Proportional to 213,146 and 307,933

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Solution

The third proportional to 213,146 and 307,933 is: 444,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146 : 307,933 = 307,933 : x
  2. Step 2: Convert to fraction form
    213,146/307,933 = 307,933/x
  3. Step 3: Cross multiply
    213,146x = 307,933 × 307,933
  4. Step 4: Simplify right side
    213,146x = 94,822,732,489
  5. Step 5: Solve for x
    x = 94,822,732,489/213,146
  6. Step 6: Final answer
    x = 444,872.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.