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Finding the Third Proportional to 289,982.81 and 636,702.75

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Solution

The third proportional to 289,982.81 and 636,702.75 is: 1,397,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,982.81 : 636,702.75 = 636,702.75 : x
  2. Step 2: Convert to fraction form
    289,982.81/636,702.75 = 636,702.75/x
  3. Step 3: Cross multiply
    289,982.81x = 636,702.75 × 636,702.75
  4. Step 4: Simplify right side
    289,982.81x = 405,390,391,857.56
  5. Step 5: Solve for x
    x = 405,390,391,857.56/289,982.81
  6. Step 6: Final answer
    x = 1,397,980.76

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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.