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Finding the Third Proportional to 94,246 and 201,566

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Solution

The third proportional to 94,246 and 201,566 is: 431,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,246 : 201,566 = 201,566 : x
  2. Step 2: Convert to fraction form
    94,246/201,566 = 201,566/x
  3. Step 3: Cross multiply
    94,246x = 201,566 × 201,566
  4. Step 4: Simplify right side
    94,246x = 40,628,852,356
  5. Step 5: Solve for x
    x = 40,628,852,356/94,246
  6. Step 6: Final answer
    x = 431,093.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.