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Finding the Third Proportional to 289,637 and 630,765

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Solution

The third proportional to 289,637 and 630,765 is: 1,373,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,637 : 630,765 = 630,765 : x
  2. Step 2: Convert to fraction form
    289,637/630,765 = 630,765/x
  3. Step 3: Cross multiply
    289,637x = 630,765 × 630,765
  4. Step 4: Simplify right side
    289,637x = 397,864,485,225
  5. Step 5: Solve for x
    x = 397,864,485,225/289,637
  6. Step 6: Final answer
    x = 1,373,665.95

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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.