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Finding the Third Proportional to 213,727 and 333,531

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Solution

The third proportional to 213,727 and 333,531 is: 520,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,727 : 333,531 = 333,531 : x
  2. Step 2: Convert to fraction form
    213,727/333,531 = 333,531/x
  3. Step 3: Cross multiply
    213,727x = 333,531 × 333,531
  4. Step 4: Simplify right side
    213,727x = 111,242,927,961
  5. Step 5: Solve for x
    x = 111,242,927,961/213,727
  6. Step 6: Final answer
    x = 520,490.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.