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Finding the Third Proportional to 289,641 and 630,772

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Solution

The third proportional to 289,641 and 630,772 is: 1,373,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,641 : 630,772 = 630,772 : x
  2. Step 2: Convert to fraction form
    289,641/630,772 = 630,772/x
  3. Step 3: Cross multiply
    289,641x = 630,772 × 630,772
  4. Step 4: Simplify right side
    289,641x = 397,873,315,984
  5. Step 5: Solve for x
    x = 397,873,315,984/289,641
  6. Step 6: Final answer
    x = 1,373,677.47

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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.