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Finding the Third Proportional to 213,840 and 333,126

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Solution

The third proportional to 213,840 and 333,126 is: 518,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,840 : 333,126 = 333,126 : x
  2. Step 2: Convert to fraction form
    213,840/333,126 = 333,126/x
  3. Step 3: Cross multiply
    213,840x = 333,126 × 333,126
  4. Step 4: Simplify right side
    213,840x = 110,972,931,876
  5. Step 5: Solve for x
    x = 110,972,931,876/213,840
  6. Step 6: Final answer
    x = 518,953.10

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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.