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Finding the Third Proportional to 128,860.50 and 140,542.50

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Solution

The third proportional to 128,860.50 and 140,542.50 is: 153,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,860.50 : 140,542.50 = 140,542.50 : x
  2. Step 2: Convert to fraction form
    128,860.50/140,542.50 = 140,542.50/x
  3. Step 3: Cross multiply
    128,860.50x = 140,542.50 × 140,542.50
  4. Step 4: Simplify right side
    128,860.50x = 19,752,194,306.25
  5. Step 5: Solve for x
    x = 19,752,194,306.25/128,860.50
  6. Step 6: Final answer
    x = 153,283.55

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.