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Finding the Third Proportional to 405,619 and 630,553

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Solution

The third proportional to 405,619 and 630,553 is: 980,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,619 : 630,553 = 630,553 : x
  2. Step 2: Convert to fraction form
    405,619/630,553 = 630,553/x
  3. Step 3: Cross multiply
    405,619x = 630,553 × 630,553
  4. Step 4: Simplify right side
    405,619x = 397,597,085,809
  5. Step 5: Solve for x
    x = 397,597,085,809/405,619
  6. Step 6: Final answer
    x = 980,223.03

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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.