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Finding the Third Proportional to 178,272 and 262,080

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Solution

The third proportional to 178,272 and 262,080 is: 385,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,272 : 262,080 = 262,080 : x
  2. Step 2: Convert to fraction form
    178,272/262,080 = 262,080/x
  3. Step 3: Cross multiply
    178,272x = 262,080 × 262,080
  4. Step 4: Simplify right side
    178,272x = 68,685,926,400
  5. Step 5: Solve for x
    x = 68,685,926,400/178,272
  6. Step 6: Final answer
    x = 385,287.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.