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Finding the Third Proportional to 124,869 and 198,607.50

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Solution

The third proportional to 124,869 and 198,607.50 is: 315,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,869 : 198,607.50 = 198,607.50 : x
  2. Step 2: Convert to fraction form
    124,869/198,607.50 = 198,607.50/x
  3. Step 3: Cross multiply
    124,869x = 198,607.50 × 198,607.50
  4. Step 4: Simplify right side
    124,869x = 39,444,939,056.25
  5. Step 5: Solve for x
    x = 39,444,939,056.25/124,869
  6. Step 6: Final answer
    x = 315,890.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.