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Finding the Third Proportional to 214,902 and 505,503

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Solution

The third proportional to 214,902 and 505,503 is: 1,189,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,902 : 505,503 = 505,503 : x
  2. Step 2: Convert to fraction form
    214,902/505,503 = 505,503/x
  3. Step 3: Cross multiply
    214,902x = 505,503 × 505,503
  4. Step 4: Simplify right side
    214,902x = 255,533,283,009
  5. Step 5: Solve for x
    x = 255,533,283,009/214,902
  6. Step 6: Final answer
    x = 1,189,068.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.