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Finding the Third Proportional to 405,828 and 630,846

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Solution

The third proportional to 405,828 and 630,846 is: 980,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,828 : 630,846 = 630,846 : x
  2. Step 2: Convert to fraction form
    405,828/630,846 = 630,846/x
  3. Step 3: Cross multiply
    405,828x = 630,846 × 630,846
  4. Step 4: Simplify right side
    405,828x = 397,966,675,716
  5. Step 5: Solve for x
    x = 397,966,675,716/405,828
  6. Step 6: Final answer
    x = 980,628.93

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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.