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Finding the Third Proportional to 71,280 and 153,858

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Solution

The third proportional to 71,280 and 153,858 is: 332,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 153,858 = 153,858 : x
  2. Step 2: Convert to fraction form
    71,280/153,858 = 153,858/x
  3. Step 3: Cross multiply
    71,280x = 153,858 × 153,858
  4. Step 4: Simplify right side
    71,280x = 23,672,284,164
  5. Step 5: Solve for x
    x = 23,672,284,164/71,280
  6. Step 6: Final answer
    x = 332,102.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.