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Finding the Third Proportional to 112,560 and 178,236

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Solution

The third proportional to 112,560 and 178,236 is: 282,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,560 : 178,236 = 178,236 : x
  2. Step 2: Convert to fraction form
    112,560/178,236 = 178,236/x
  3. Step 3: Cross multiply
    112,560x = 178,236 × 178,236
  4. Step 4: Simplify right side
    112,560x = 31,768,071,696
  5. Step 5: Solve for x
    x = 31,768,071,696/112,560
  6. Step 6: Final answer
    x = 282,232.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.