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Finding the Third Proportional to 215,756 and 334,994

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Solution

The third proportional to 215,756 and 334,994 is: 520,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,756 : 334,994 = 334,994 : x
  2. Step 2: Convert to fraction form
    215,756/334,994 = 334,994/x
  3. Step 3: Cross multiply
    215,756x = 334,994 × 334,994
  4. Step 4: Simplify right side
    215,756x = 112,220,980,036
  5. Step 5: Solve for x
    x = 112,220,980,036/215,756
  6. Step 6: Final answer
    x = 520,129.13

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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.