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Finding the Third Proportional to 305,061 and 712,635

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Solution

The third proportional to 305,061 and 712,635 is: 1,664,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,061 : 712,635 = 712,635 : x
  2. Step 2: Convert to fraction form
    305,061/712,635 = 712,635/x
  3. Step 3: Cross multiply
    305,061x = 712,635 × 712,635
  4. Step 4: Simplify right side
    305,061x = 507,848,643,225
  5. Step 5: Solve for x
    x = 507,848,643,225/305,061
  6. Step 6: Final answer
    x = 1,664,744.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.