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Finding the Third Proportional to 56,320.75 and 78,740

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Solution

The third proportional to 56,320.75 and 78,740 is: 110,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320.75 : 78,740 = 78,740 : x
  2. Step 2: Convert to fraction form
    56,320.75/78,740 = 78,740/x
  3. Step 3: Cross multiply
    56,320.75x = 78,740 × 78,740
  4. Step 4: Simplify right side
    56,320.75x = 6,199,987,600
  5. Step 5: Solve for x
    x = 6,199,987,600/56,320.75
  6. Step 6: Final answer
    x = 110,083.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.