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Finding the Third Proportional to 213,456 and 334,836

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Solution

The third proportional to 213,456 and 334,836 is: 525,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,456 : 334,836 = 334,836 : x
  2. Step 2: Convert to fraction form
    213,456/334,836 = 334,836/x
  3. Step 3: Cross multiply
    213,456x = 334,836 × 334,836
  4. Step 4: Simplify right side
    213,456x = 112,115,146,896
  5. Step 5: Solve for x
    x = 112,115,146,896/213,456
  6. Step 6: Final answer
    x = 525,237.74

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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.