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Finding the Third Proportional to 642,242 and 1,000,122

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Solution

The third proportional to 642,242 and 1,000,122 is: 1,557,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,242 : 1,000,122 = 1,000,122 : x
  2. Step 2: Convert to fraction form
    642,242/1,000,122 = 1,000,122/x
  3. Step 3: Cross multiply
    642,242x = 1,000,122 × 1,000,122
  4. Step 4: Simplify right side
    642,242x = 1,000,244,014,884
  5. Step 5: Solve for x
    x = 1,000,244,014,884/642,242
  6. Step 6: Final answer
    x = 1,557,425.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.