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Finding the Third Proportional to 212,722 and 319,729

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Solution

The third proportional to 212,722 and 319,729 is: 480,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,722 : 319,729 = 319,729 : x
  2. Step 2: Convert to fraction form
    212,722/319,729 = 319,729/x
  3. Step 3: Cross multiply
    212,722x = 319,729 × 319,729
  4. Step 4: Simplify right side
    212,722x = 102,226,633,441
  5. Step 5: Solve for x
    x = 102,226,633,441/212,722
  6. Step 6: Final answer
    x = 480,564.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.