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Finding the Third Proportional to 415,176 and 644,172

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Solution

The third proportional to 415,176 and 644,172 is: 999,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,176 : 644,172 = 644,172 : x
  2. Step 2: Convert to fraction form
    415,176/644,172 = 644,172/x
  3. Step 3: Cross multiply
    415,176x = 644,172 × 644,172
  4. Step 4: Simplify right side
    415,176x = 414,957,565,584
  5. Step 5: Solve for x
    x = 414,957,565,584/415,176
  6. Step 6: Final answer
    x = 999,473.88

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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.