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Finding the Third Proportional to 60,945 and 128,542.50

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Solution

The third proportional to 60,945 and 128,542.50 is: 271,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,945 : 128,542.50 = 128,542.50 : x
  2. Step 2: Convert to fraction form
    60,945/128,542.50 = 128,542.50/x
  3. Step 3: Cross multiply
    60,945x = 128,542.50 × 128,542.50
  4. Step 4: Simplify right side
    60,945x = 16,523,174,306.25
  5. Step 5: Solve for x
    x = 16,523,174,306.25/60,945
  6. Step 6: Final answer
    x = 271,116.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.