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Finding the Third Proportional to 77,400 and 158,080

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Solution

The third proportional to 77,400 and 158,080 is: 322,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400 : 158,080 = 158,080 : x
  2. Step 2: Convert to fraction form
    77,400/158,080 = 158,080/x
  3. Step 3: Cross multiply
    77,400x = 158,080 × 158,080
  4. Step 4: Simplify right side
    77,400x = 24,989,286,400
  5. Step 5: Solve for x
    x = 24,989,286,400/77,400
  6. Step 6: Final answer
    x = 322,859.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.