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Finding the Third Proportional to 57,709 and 86,943

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Solution

The third proportional to 57,709 and 86,943 is: 130,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709 : 86,943 = 86,943 : x
  2. Step 2: Convert to fraction form
    57,709/86,943 = 86,943/x
  3. Step 3: Cross multiply
    57,709x = 86,943 × 86,943
  4. Step 4: Simplify right side
    57,709x = 7,559,085,249
  5. Step 5: Solve for x
    x = 7,559,085,249/57,709
  6. Step 6: Final answer
    x = 130,986.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.