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Finding the Third Proportional to 98,880.61 and 215,729.41

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Solution

The third proportional to 98,880.61 and 215,729.41 is: 470,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,880.61 : 215,729.41 = 215,729.41 : x
  2. Step 2: Convert to fraction form
    98,880.61/215,729.41 = 215,729.41/x
  3. Step 3: Cross multiply
    98,880.61x = 215,729.41 × 215,729.41
  4. Step 4: Simplify right side
    98,880.61x = 46,539,180,091.75
  5. Step 5: Solve for x
    x = 46,539,180,091.75/98,880.61
  6. Step 6: Final answer
    x = 470,660.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.