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Finding the Third Proportional to 77,056 and 159,280

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Solution

The third proportional to 77,056 and 159,280 is: 329,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056 : 159,280 = 159,280 : x
  2. Step 2: Convert to fraction form
    77,056/159,280 = 159,280/x
  3. Step 3: Cross multiply
    77,056x = 159,280 × 159,280
  4. Step 4: Simplify right side
    77,056x = 25,370,118,400
  5. Step 5: Solve for x
    x = 25,370,118,400/77,056
  6. Step 6: Final answer
    x = 329,242.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.