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Finding the Third Proportional to 277,501.50 and 368,921.25

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Solution

The third proportional to 277,501.50 and 368,921.25 is: 490,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,501.50 : 368,921.25 = 368,921.25 : x
  2. Step 2: Convert to fraction form
    277,501.50/368,921.25 = 368,921.25/x
  3. Step 3: Cross multiply
    277,501.50x = 368,921.25 × 368,921.25
  4. Step 4: Simplify right side
    277,501.50x = 136,102,888,701.56
  5. Step 5: Solve for x
    x = 136,102,888,701.56/277,501.50
  6. Step 6: Final answer
    x = 490,458.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.