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Finding the Third Proportional to 78,033.75 and 117,585

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Solution

The third proportional to 78,033.75 and 117,585 is: 177,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.75 : 117,585 = 117,585 : x
  2. Step 2: Convert to fraction form
    78,033.75/117,585 = 117,585/x
  3. Step 3: Cross multiply
    78,033.75x = 117,585 × 117,585
  4. Step 4: Simplify right side
    78,033.75x = 13,826,232,225
  5. Step 5: Solve for x
    x = 13,826,232,225/78,033.75
  6. Step 6: Final answer
    x = 177,182.72

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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.