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Finding the Third Proportional to 287,062 and 427,311

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Solution

The third proportional to 287,062 and 427,311 is: 636,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,062 : 427,311 = 427,311 : x
  2. Step 2: Convert to fraction form
    287,062/427,311 = 427,311/x
  3. Step 3: Cross multiply
    287,062x = 427,311 × 427,311
  4. Step 4: Simplify right side
    287,062x = 182,594,690,721
  5. Step 5: Solve for x
    x = 182,594,690,721/287,062
  6. Step 6: Final answer
    x = 636,081.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.