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Finding the Third Proportional to 428,873 and 924,174

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Solution

The third proportional to 428,873 and 924,174 is: 1,991,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,873 : 924,174 = 924,174 : x
  2. Step 2: Convert to fraction form
    428,873/924,174 = 924,174/x
  3. Step 3: Cross multiply
    428,873x = 924,174 × 924,174
  4. Step 4: Simplify right side
    428,873x = 854,097,582,276
  5. Step 5: Solve for x
    x = 854,097,582,276/428,873
  6. Step 6: Final answer
    x = 1,991,493.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.