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Finding the Third Proportional to 178,080 and 273,840

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Solution

The third proportional to 178,080 and 273,840 is: 421,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,080 : 273,840 = 273,840 : x
  2. Step 2: Convert to fraction form
    178,080/273,840 = 273,840/x
  3. Step 3: Cross multiply
    178,080x = 273,840 × 273,840
  4. Step 4: Simplify right side
    178,080x = 74,988,345,600
  5. Step 5: Solve for x
    x = 74,988,345,600/178,080
  6. Step 6: Final answer
    x = 421,093.58

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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.