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Finding the Third Proportional to 405,726 and 630,699

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Solution

The third proportional to 405,726 and 630,699 is: 980,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,726 : 630,699 = 630,699 : x
  2. Step 2: Convert to fraction form
    405,726/630,699 = 630,699/x
  3. Step 3: Cross multiply
    405,726x = 630,699 × 630,699
  4. Step 4: Simplify right side
    405,726x = 397,781,228,601
  5. Step 5: Solve for x
    x = 397,781,228,601/405,726
  6. Step 6: Final answer
    x = 980,418.38

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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.