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Finding the Third Proportional to 212,878 and 354,783

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Solution

The third proportional to 212,878 and 354,783 is: 591,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,878 : 354,783 = 354,783 : x
  2. Step 2: Convert to fraction form
    212,878/354,783 = 354,783/x
  3. Step 3: Cross multiply
    212,878x = 354,783 × 354,783
  4. Step 4: Simplify right side
    212,878x = 125,870,977,089
  5. Step 5: Solve for x
    x = 125,870,977,089/212,878
  6. Step 6: Final answer
    x = 591,282.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.