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Finding the Third Proportional to 287,325 and 630,693

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Solution

The third proportional to 287,325 and 630,693 is: 1,384,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,325 : 630,693 = 630,693 : x
  2. Step 2: Convert to fraction form
    287,325/630,693 = 630,693/x
  3. Step 3: Cross multiply
    287,325x = 630,693 × 630,693
  4. Step 4: Simplify right side
    287,325x = 397,773,660,249
  5. Step 5: Solve for x
    x = 397,773,660,249/287,325
  6. Step 6: Final answer
    x = 1,384,403.24

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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.