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Finding the Third Proportional to 388,912.50 and 583,375.50

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Solution

The third proportional to 388,912.50 and 583,375.50 is: 875,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,912.50 : 583,375.50 = 583,375.50 : x
  2. Step 2: Convert to fraction form
    388,912.50/583,375.50 = 583,375.50/x
  3. Step 3: Cross multiply
    388,912.50x = 583,375.50 × 583,375.50
  4. Step 4: Simplify right side
    388,912.50x = 340,326,974,000.25
  5. Step 5: Solve for x
    x = 340,326,974,000.25/388,912.50
  6. Step 6: Final answer
    x = 875,073.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.