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Finding the Third Proportional to 382,342.50 and 573,657.75

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Solution

The third proportional to 382,342.50 and 573,657.75 is: 860,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,342.50 : 573,657.75 = 573,657.75 : x
  2. Step 2: Convert to fraction form
    382,342.50/573,657.75 = 573,657.75/x
  3. Step 3: Cross multiply
    382,342.50x = 573,657.75 × 573,657.75
  4. Step 4: Simplify right side
    382,342.50x = 329,083,214,135.06
  5. Step 5: Solve for x
    x = 329,083,214,135.06/382,342.50
  6. Step 6: Final answer
    x = 860,702.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.