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Finding the Third Proportional to 213,000 and 333,972

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Solution

The third proportional to 213,000 and 333,972 is: 523,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,000 : 333,972 = 333,972 : x
  2. Step 2: Convert to fraction form
    213,000/333,972 = 333,972/x
  3. Step 3: Cross multiply
    213,000x = 333,972 × 333,972
  4. Step 4: Simplify right side
    213,000x = 111,537,296,784
  5. Step 5: Solve for x
    x = 111,537,296,784/213,000
  6. Step 6: Final answer
    x = 523,649.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.