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Finding the Third Proportional to 275,557.50 and 390,021.75

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Solution

The third proportional to 275,557.50 and 390,021.75 is: 552,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,557.50 : 390,021.75 = 390,021.75 : x
  2. Step 2: Convert to fraction form
    275,557.50/390,021.75 = 390,021.75/x
  3. Step 3: Cross multiply
    275,557.50x = 390,021.75 × 390,021.75
  4. Step 4: Simplify right side
    275,557.50x = 152,116,965,473.06
  5. Step 5: Solve for x
    x = 152,116,965,473.06/275,557.50
  6. Step 6: Final answer
    x = 552,033.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.