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Finding the Third Proportional to 286,776 and 630,171

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Solution

The third proportional to 286,776 and 630,171 is: 1,384,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,776 : 630,171 = 630,171 : x
  2. Step 2: Convert to fraction form
    286,776/630,171 = 630,171/x
  3. Step 3: Cross multiply
    286,776x = 630,171 × 630,171
  4. Step 4: Simplify right side
    286,776x = 397,115,489,241
  5. Step 5: Solve for x
    x = 397,115,489,241/286,776
  6. Step 6: Final answer
    x = 1,384,758.45

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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.