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Finding the Third Proportional to 287,622 and 627,158

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Solution

The third proportional to 287,622 and 627,158 is: 1,367,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,622 : 627,158 = 627,158 : x
  2. Step 2: Convert to fraction form
    287,622/627,158 = 627,158/x
  3. Step 3: Cross multiply
    287,622x = 627,158 × 627,158
  4. Step 4: Simplify right side
    287,622x = 393,327,156,964
  5. Step 5: Solve for x
    x = 393,327,156,964/287,622
  6. Step 6: Final answer
    x = 1,367,514.16

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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.