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Finding the Third Proportional to 289,008 and 630,288

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Solution

The third proportional to 289,008 and 630,288 is: 1,374,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,008 : 630,288 = 630,288 : x
  2. Step 2: Convert to fraction form
    289,008/630,288 = 630,288/x
  3. Step 3: Cross multiply
    289,008x = 630,288 × 630,288
  4. Step 4: Simplify right side
    289,008x = 397,262,962,944
  5. Step 5: Solve for x
    x = 397,262,962,944/289,008
  6. Step 6: Final answer
    x = 1,374,574.28

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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.