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Finding the Third Proportional to 489,657 and 624,285

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Solution

The third proportional to 489,657 and 624,285 is: 795,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,657 : 624,285 = 624,285 : x
  2. Step 2: Convert to fraction form
    489,657/624,285 = 624,285/x
  3. Step 3: Cross multiply
    489,657x = 624,285 × 624,285
  4. Step 4: Simplify right side
    489,657x = 389,731,761,225
  5. Step 5: Solve for x
    x = 389,731,761,225/489,657
  6. Step 6: Final answer
    x = 795,928.09

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.