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Finding the Third Proportional to 78,698.25 and 118,706.25

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Solution

The third proportional to 78,698.25 and 118,706.25 is: 179,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,698.25 : 118,706.25 = 118,706.25 : x
  2. Step 2: Convert to fraction form
    78,698.25/118,706.25 = 118,706.25/x
  3. Step 3: Cross multiply
    78,698.25x = 118,706.25 × 118,706.25
  4. Step 4: Simplify right side
    78,698.25x = 14,091,173,789.06
  5. Step 5: Solve for x
    x = 14,091,173,789.06/78,698.25
  6. Step 6: Final answer
    x = 179,053.20

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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.