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Finding the Third Proportional to 208,087.50 and 315,148.50

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Solution

The third proportional to 208,087.50 and 315,148.50 is: 477,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,087.50 : 315,148.50 = 315,148.50 : x
  2. Step 2: Convert to fraction form
    208,087.50/315,148.50 = 315,148.50/x
  3. Step 3: Cross multiply
    208,087.50x = 315,148.50 × 315,148.50
  4. Step 4: Simplify right side
    208,087.50x = 99,318,577,052.25
  5. Step 5: Solve for x
    x = 99,318,577,052.25/208,087.50
  6. Step 6: Final answer
    x = 477,292.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.