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Finding the Third Proportional to 289,636 and 630,762.75

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Solution

The third proportional to 289,636 and 630,762.75 is: 1,373,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636 : 630,762.75 = 630,762.75 : x
  2. Step 2: Convert to fraction form
    289,636/630,762.75 = 630,762.75/x
  3. Step 3: Cross multiply
    289,636x = 630,762.75 × 630,762.75
  4. Step 4: Simplify right side
    289,636x = 397,861,646,787.56
  5. Step 5: Solve for x
    x = 397,861,646,787.56/289,636
  6. Step 6: Final answer
    x = 1,373,660.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.