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Finding the Third Proportional to 275,546.25 and 390,004.88

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Solution

The third proportional to 275,546.25 and 390,004.88 is: 552,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,546.25 : 390,004.88 = 390,004.88 : x
  2. Step 2: Convert to fraction form
    275,546.25/390,004.88 = 390,004.88/x
  3. Step 3: Cross multiply
    275,546.25x = 390,004.88 × 390,004.88
  4. Step 4: Simplify right side
    275,546.25x = 152,103,802,523.77
  5. Step 5: Solve for x
    x = 152,103,802,523.77/275,546.25
  6. Step 6: Final answer
    x = 552,008.25

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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.