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Finding the Third Proportional to 288,852 and 630,192

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Solution

The third proportional to 288,852 and 630,192 is: 1,374,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,852 : 630,192 = 630,192 : x
  2. Step 2: Convert to fraction form
    288,852/630,192 = 630,192/x
  3. Step 3: Cross multiply
    288,852x = 630,192 × 630,192
  4. Step 4: Simplify right side
    288,852x = 397,141,956,864
  5. Step 5: Solve for x
    x = 397,141,956,864/288,852
  6. Step 6: Final answer
    x = 1,374,897.72

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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.