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Finding the Third Proportional to 272,260.50 and 385,015.50

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Solution

The third proportional to 272,260.50 and 385,015.50 is: 544,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,260.50 : 385,015.50 = 385,015.50 : x
  2. Step 2: Convert to fraction form
    272,260.50/385,015.50 = 385,015.50/x
  3. Step 3: Cross multiply
    272,260.50x = 385,015.50 × 385,015.50
  4. Step 4: Simplify right side
    272,260.50x = 148,236,935,240.25
  5. Step 5: Solve for x
    x = 148,236,935,240.25/272,260.50
  6. Step 6: Final answer
    x = 544,467.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.