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Finding the Third Proportional to 78,537 and 125,089.50

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Solution

The third proportional to 78,537 and 125,089.50 is: 199,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537 : 125,089.50 = 125,089.50 : x
  2. Step 2: Convert to fraction form
    78,537/125,089.50 = 125,089.50/x
  3. Step 3: Cross multiply
    78,537x = 125,089.50 × 125,089.50
  4. Step 4: Simplify right side
    78,537x = 15,647,383,010.25
  5. Step 5: Solve for x
    x = 15,647,383,010.25/78,537
  6. Step 6: Final answer
    x = 199,235.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.