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Finding the Third Proportional to 405,617 and 630,550

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Solution

The third proportional to 405,617 and 630,550 is: 980,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,617 : 630,550 = 630,550 : x
  2. Step 2: Convert to fraction form
    405,617/630,550 = 630,550/x
  3. Step 3: Cross multiply
    405,617x = 630,550 × 630,550
  4. Step 4: Simplify right side
    405,617x = 397,593,302,500
  5. Step 5: Solve for x
    x = 397,593,302,500/405,617
  6. Step 6: Final answer
    x = 980,218.54

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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.