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Finding the Third Proportional to 79,570 and 107,683

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Solution

The third proportional to 79,570 and 107,683 is: 145,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,570 : 107,683 = 107,683 : x
  2. Step 2: Convert to fraction form
    79,570/107,683 = 107,683/x
  3. Step 3: Cross multiply
    79,570x = 107,683 × 107,683
  4. Step 4: Simplify right side
    79,570x = 11,595,628,489
  5. Step 5: Solve for x
    x = 11,595,628,489/79,570
  6. Step 6: Final answer
    x = 145,728.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.