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Finding the Third Proportional to 289,644 and 630,777

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Solution

The third proportional to 289,644 and 630,777 is: 1,373,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,644 : 630,777 = 630,777 : x
  2. Step 2: Convert to fraction form
    289,644/630,777 = 630,777/x
  3. Step 3: Cross multiply
    289,644x = 630,777 × 630,777
  4. Step 4: Simplify right side
    289,644x = 397,879,623,729
  5. Step 5: Solve for x
    x = 397,879,623,729/289,644
  6. Step 6: Final answer
    x = 1,373,685.02

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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.