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Finding the Third Proportional to 78,570 and 118,179

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Solution

The third proportional to 78,570 and 118,179 is: 177,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,570 : 118,179 = 118,179 : x
  2. Step 2: Convert to fraction form
    78,570/118,179 = 118,179/x
  3. Step 3: Cross multiply
    78,570x = 118,179 × 118,179
  4. Step 4: Simplify right side
    78,570x = 13,966,276,041
  5. Step 5: Solve for x
    x = 13,966,276,041/78,570
  6. Step 6: Final answer
    x = 177,755.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.