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Finding the Third Proportional to 415,556 and 644,718

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Solution

The third proportional to 415,556 and 644,718 is: 1,000,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,556 : 644,718 = 644,718 : x
  2. Step 2: Convert to fraction form
    415,556/644,718 = 644,718/x
  3. Step 3: Cross multiply
    415,556x = 644,718 × 644,718
  4. Step 4: Simplify right side
    415,556x = 415,661,299,524
  5. Step 5: Solve for x
    x = 415,661,299,524/415,556
  6. Step 6: Final answer
    x = 1,000,253.39

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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.