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Finding the Third Proportional to 280,308 and 630,786

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Solution

The third proportional to 280,308 and 630,786 is: 1,419,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,308 : 630,786 = 630,786 : x
  2. Step 2: Convert to fraction form
    280,308/630,786 = 630,786/x
  3. Step 3: Cross multiply
    280,308x = 630,786 × 630,786
  4. Step 4: Simplify right side
    280,308x = 397,890,977,796
  5. Step 5: Solve for x
    x = 397,890,977,796/280,308
  6. Step 6: Final answer
    x = 1,419,477.78

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.