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Finding the Third Proportional to 405,684 and 630,642

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Solution

The third proportional to 405,684 and 630,642 is: 980,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,684 : 630,642 = 630,642 : x
  2. Step 2: Convert to fraction form
    405,684/630,642 = 630,642/x
  3. Step 3: Cross multiply
    405,684x = 630,642 × 630,642
  4. Step 4: Simplify right side
    405,684x = 397,709,332,164
  5. Step 5: Solve for x
    x = 397,709,332,164/405,684
  6. Step 6: Final answer
    x = 980,342.66

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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.