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Finding the Third Proportional to 76,080 and 154,464

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Solution

The third proportional to 76,080 and 154,464 is: 313,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,080 : 154,464 = 154,464 : x
  2. Step 2: Convert to fraction form
    76,080/154,464 = 154,464/x
  3. Step 3: Cross multiply
    76,080x = 154,464 × 154,464
  4. Step 4: Simplify right side
    76,080x = 23,859,127,296
  5. Step 5: Solve for x
    x = 23,859,127,296/76,080
  6. Step 6: Final answer
    x = 313,605.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.