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Finding the Third Proportional to 305,603 and 722,583.50

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Solution

The third proportional to 305,603 and 722,583.50 is: 1,708,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,603 : 722,583.50 = 722,583.50 : x
  2. Step 2: Convert to fraction form
    305,603/722,583.50 = 722,583.50/x
  3. Step 3: Cross multiply
    305,603x = 722,583.50 × 722,583.50
  4. Step 4: Simplify right side
    305,603x = 522,126,914,472.25
  5. Step 5: Solve for x
    x = 522,126,914,472.25/305,603
  6. Step 6: Final answer
    x = 1,708,513.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.