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Finding the Third Proportional to 286,900 and 630,416

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Solution

The third proportional to 286,900 and 630,416 is: 1,385,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,900 : 630,416 = 630,416 : x
  2. Step 2: Convert to fraction form
    286,900/630,416 = 630,416/x
  3. Step 3: Cross multiply
    286,900x = 630,416 × 630,416
  4. Step 4: Simplify right side
    286,900x = 397,424,333,056
  5. Step 5: Solve for x
    x = 397,424,333,056/286,900
  6. Step 6: Final answer
    x = 1,385,236.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.