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Finding the Third Proportional to 222,642 and 344,787

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Solution

The third proportional to 222,642 and 344,787 is: 533,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,642 : 344,787 = 344,787 : x
  2. Step 2: Convert to fraction form
    222,642/344,787 = 344,787/x
  3. Step 3: Cross multiply
    222,642x = 344,787 × 344,787
  4. Step 4: Simplify right side
    222,642x = 118,878,075,369
  5. Step 5: Solve for x
    x = 118,878,075,369/222,642
  6. Step 6: Final answer
    x = 533,942.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.