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Finding the Third Proportional to 405,668.25 and 630,628.03

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Solution

The third proportional to 405,668.25 and 630,628.03 is: 980,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,668.25 : 630,628.03 = 630,628.03 : x
  2. Step 2: Convert to fraction form
    405,668.25/630,628.03 = 630,628.03/x
  3. Step 3: Cross multiply
    405,668.25x = 630,628.03 × 630,628.03
  4. Step 4: Simplify right side
    405,668.25x = 397,691,713,798.25
  5. Step 5: Solve for x
    x = 397,691,713,798.25/405,668.25
  6. Step 6: Final answer
    x = 980,337.29

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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.