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Finding the Third Proportional to 395,148 and 612,774

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Solution

The third proportional to 395,148 and 612,774 is: 950,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,148 : 612,774 = 612,774 : x
  2. Step 2: Convert to fraction form
    395,148/612,774 = 612,774/x
  3. Step 3: Cross multiply
    395,148x = 612,774 × 612,774
  4. Step 4: Simplify right side
    395,148x = 375,491,975,076
  5. Step 5: Solve for x
    x = 375,491,975,076/395,148
  6. Step 6: Final answer
    x = 950,256.55

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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.