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Finding the Third Proportional to 78,540 and 118,953

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Solution

The third proportional to 78,540 and 118,953 is: 180,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540 : 118,953 = 118,953 : x
  2. Step 2: Convert to fraction form
    78,540/118,953 = 118,953/x
  3. Step 3: Cross multiply
    78,540x = 118,953 × 118,953
  4. Step 4: Simplify right side
    78,540x = 14,149,816,209
  5. Step 5: Solve for x
    x = 14,149,816,209/78,540
  6. Step 6: Final answer
    x = 180,160.63

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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.