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Finding the Third Proportional to 54,768 and 77,586

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Solution

The third proportional to 54,768 and 77,586 is: 109,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768 : 77,586 = 77,586 : x
  2. Step 2: Convert to fraction form
    54,768/77,586 = 77,586/x
  3. Step 3: Cross multiply
    54,768x = 77,586 × 77,586
  4. Step 4: Simplify right side
    54,768x = 6,019,587,396
  5. Step 5: Solve for x
    x = 6,019,587,396/54,768
  6. Step 6: Final answer
    x = 109,910.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.