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Finding the Third Proportional to 305,680.50 and 719,253

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Solution

The third proportional to 305,680.50 and 719,253 is: 1,692,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,680.50 : 719,253 = 719,253 : x
  2. Step 2: Convert to fraction form
    305,680.50/719,253 = 719,253/x
  3. Step 3: Cross multiply
    305,680.50x = 719,253 × 719,253
  4. Step 4: Simplify right side
    305,680.50x = 517,324,878,009
  5. Step 5: Solve for x
    x = 517,324,878,009/305,680.50
  6. Step 6: Final answer
    x = 1,692,371.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.