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Finding the Third Proportional to 108,720 and 239,512.50

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Solution

The third proportional to 108,720 and 239,512.50 is: 527,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,720 : 239,512.50 = 239,512.50 : x
  2. Step 2: Convert to fraction form
    108,720/239,512.50 = 239,512.50/x
  3. Step 3: Cross multiply
    108,720x = 239,512.50 × 239,512.50
  4. Step 4: Simplify right side
    108,720x = 57,366,237,656.25
  5. Step 5: Solve for x
    x = 57,366,237,656.25/108,720
  6. Step 6: Final answer
    x = 527,651.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.