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Finding the Third Proportional to 87,780 and 134,835

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Solution

The third proportional to 87,780 and 134,835 is: 207,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,780 : 134,835 = 134,835 : x
  2. Step 2: Convert to fraction form
    87,780/134,835 = 134,835/x
  3. Step 3: Cross multiply
    87,780x = 134,835 × 134,835
  4. Step 4: Simplify right side
    87,780x = 18,180,477,225
  5. Step 5: Solve for x
    x = 18,180,477,225/87,780
  6. Step 6: Final answer
    x = 207,114.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.