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Finding the Third Proportional to 57,758 and 77,871

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Solution

The third proportional to 57,758 and 77,871 is: 104,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758 : 77,871 = 77,871 : x
  2. Step 2: Convert to fraction form
    57,758/77,871 = 77,871/x
  3. Step 3: Cross multiply
    57,758x = 77,871 × 77,871
  4. Step 4: Simplify right side
    57,758x = 6,063,892,641
  5. Step 5: Solve for x
    x = 6,063,892,641/57,758
  6. Step 6: Final answer
    x = 104,987.93

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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.