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Finding the Third Proportional to 127,057.50 and 280,237.50

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Solution

The third proportional to 127,057.50 and 280,237.50 is: 618,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,057.50 : 280,237.50 = 280,237.50 : x
  2. Step 2: Convert to fraction form
    127,057.50/280,237.50 = 280,237.50/x
  3. Step 3: Cross multiply
    127,057.50x = 280,237.50 × 280,237.50
  4. Step 4: Simplify right side
    127,057.50x = 78,533,056,406.25
  5. Step 5: Solve for x
    x = 78,533,056,406.25/127,057.50
  6. Step 6: Final answer
    x = 618,090.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.