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Finding the Third Proportional to 305,538.75 and 671,989.50

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Solution

The third proportional to 305,538.75 and 671,989.50 is: 1,477,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,538.75 : 671,989.50 = 671,989.50 : x
  2. Step 2: Convert to fraction form
    305,538.75/671,989.50 = 671,989.50/x
  3. Step 3: Cross multiply
    305,538.75x = 671,989.50 × 671,989.50
  4. Step 4: Simplify right side
    305,538.75x = 451,569,888,110.25
  5. Step 5: Solve for x
    x = 451,569,888,110.25/305,538.75
  6. Step 6: Final answer
    x = 1,477,946.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.