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Finding the Third Proportional to 118,116.98 and 178,143.68

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Solution

The third proportional to 118,116.98 and 178,143.68 is: 268,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,116.98 : 178,143.68 = 178,143.68 : x
  2. Step 2: Convert to fraction form
    118,116.98/178,143.68 = 178,143.68/x
  3. Step 3: Cross multiply
    118,116.98x = 178,143.68 × 178,143.68
  4. Step 4: Simplify right side
    118,116.98x = 31,735,170,612.60
  5. Step 5: Solve for x
    x = 31,735,170,612.60/118,116.98
  6. Step 6: Final answer
    x = 268,675.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.