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Finding the Third Proportional to 288,854 and 630,196

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Solution

The third proportional to 288,854 and 630,196 is: 1,374,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,854 : 630,196 = 630,196 : x
  2. Step 2: Convert to fraction form
    288,854/630,196 = 630,196/x
  3. Step 3: Cross multiply
    288,854x = 630,196 × 630,196
  4. Step 4: Simplify right side
    288,854x = 397,146,998,416
  5. Step 5: Solve for x
    x = 397,146,998,416/288,854
  6. Step 6: Final answer
    x = 1,374,905.66

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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.