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Finding the Third Proportional to 404,927 and 628,613

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Solution

The third proportional to 404,927 and 628,613 is: 975,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,927 : 628,613 = 628,613 : x
  2. Step 2: Convert to fraction form
    404,927/628,613 = 628,613/x
  3. Step 3: Cross multiply
    404,927x = 628,613 × 628,613
  4. Step 4: Simplify right side
    404,927x = 395,154,303,769
  5. Step 5: Solve for x
    x = 395,154,303,769/404,927
  6. Step 6: Final answer
    x = 975,865.54

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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.