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Finding the Third Proportional to 53,087 and 80,310

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Solution

The third proportional to 53,087 and 80,310 is: 121,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,087 : 80,310 = 80,310 : x
  2. Step 2: Convert to fraction form
    53,087/80,310 = 80,310/x
  3. Step 3: Cross multiply
    53,087x = 80,310 × 80,310
  4. Step 4: Simplify right side
    53,087x = 6,449,696,100
  5. Step 5: Solve for x
    x = 6,449,696,100/53,087
  6. Step 6: Final answer
    x = 121,492.95

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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.