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Finding the Third Proportional to 77,282 and 161,260

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Solution

The third proportional to 77,282 and 161,260 is: 336,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282 : 161,260 = 161,260 : x
  2. Step 2: Convert to fraction form
    77,282/161,260 = 161,260/x
  3. Step 3: Cross multiply
    77,282x = 161,260 × 161,260
  4. Step 4: Simplify right side
    77,282x = 26,004,787,600
  5. Step 5: Solve for x
    x = 26,004,787,600/77,282
  6. Step 6: Final answer
    x = 336,492.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.