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Finding the Third Proportional to 35,726 and 77,800

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Solution

The third proportional to 35,726 and 77,800 is: 169,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,726 : 77,800 = 77,800 : x
  2. Step 2: Convert to fraction form
    35,726/77,800 = 77,800/x
  3. Step 3: Cross multiply
    35,726x = 77,800 × 77,800
  4. Step 4: Simplify right side
    35,726x = 6,052,840,000
  5. Step 5: Solve for x
    x = 6,052,840,000/35,726
  6. Step 6: Final answer
    x = 169,423.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.