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Finding the Third Proportional to 57,478 and 88,777

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Solution

The third proportional to 57,478 and 88,777 is: 137,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478 : 88,777 = 88,777 : x
  2. Step 2: Convert to fraction form
    57,478/88,777 = 88,777/x
  3. Step 3: Cross multiply
    57,478x = 88,777 × 88,777
  4. Step 4: Simplify right side
    57,478x = 7,881,355,729
  5. Step 5: Solve for x
    x = 7,881,355,729/57,478
  6. Step 6: Final answer
    x = 137,119.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.