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Finding the Third Proportional to 300,512.25 and 429,702.75

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Solution

The third proportional to 300,512.25 and 429,702.75 is: 614,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,512.25 : 429,702.75 = 429,702.75 : x
  2. Step 2: Convert to fraction form
    300,512.25/429,702.75 = 429,702.75/x
  3. Step 3: Cross multiply
    300,512.25x = 429,702.75 × 429,702.75
  4. Step 4: Simplify right side
    300,512.25x = 184,644,453,357.56
  5. Step 5: Solve for x
    x = 184,644,453,357.56/300,512.25
  6. Step 6: Final answer
    x = 614,432.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.