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Finding the Third Proportional to 418,242 and 646,257

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Solution

The third proportional to 418,242 and 646,257 is: 998,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,242 : 646,257 = 646,257 : x
  2. Step 2: Convert to fraction form
    418,242/646,257 = 646,257/x
  3. Step 3: Cross multiply
    418,242x = 646,257 × 646,257
  4. Step 4: Simplify right side
    418,242x = 417,648,110,049
  5. Step 5: Solve for x
    x = 417,648,110,049/418,242
  6. Step 6: Final answer
    x = 998,580.03

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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.