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Finding the Third Proportional to 77,784 and 128,340

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Solution

The third proportional to 77,784 and 128,340 is: 211,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784 : 128,340 = 128,340 : x
  2. Step 2: Convert to fraction form
    77,784/128,340 = 128,340/x
  3. Step 3: Cross multiply
    77,784x = 128,340 × 128,340
  4. Step 4: Simplify right side
    77,784x = 16,471,155,600
  5. Step 5: Solve for x
    x = 16,471,155,600/77,784
  6. Step 6: Final answer
    x = 211,755.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.