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Finding the Third Proportional to 35,620 and 76,480

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Solution

The third proportional to 35,620 and 76,480 is: 164,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,620 : 76,480 = 76,480 : x
  2. Step 2: Convert to fraction form
    35,620/76,480 = 76,480/x
  3. Step 3: Cross multiply
    35,620x = 76,480 × 76,480
  4. Step 4: Simplify right side
    35,620x = 5,849,190,400
  5. Step 5: Solve for x
    x = 5,849,190,400/35,620
  6. Step 6: Final answer
    x = 164,210.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.