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Finding the Third Proportional to 71,920 and 114,904

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Solution

The third proportional to 71,920 and 114,904 is: 183,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920 : 114,904 = 114,904 : x
  2. Step 2: Convert to fraction form
    71,920/114,904 = 114,904/x
  3. Step 3: Cross multiply
    71,920x = 114,904 × 114,904
  4. Step 4: Simplify right side
    71,920x = 13,202,929,216
  5. Step 5: Solve for x
    x = 13,202,929,216/71,920
  6. Step 6: Final answer
    x = 183,577.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.