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Finding the Third Proportional to 93,822 and 191,463

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Solution

The third proportional to 93,822 and 191,463 is: 390,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,822 : 191,463 = 191,463 : x
  2. Step 2: Convert to fraction form
    93,822/191,463 = 191,463/x
  3. Step 3: Cross multiply
    93,822x = 191,463 × 191,463
  4. Step 4: Simplify right side
    93,822x = 36,658,080,369
  5. Step 5: Solve for x
    x = 36,658,080,369/93,822
  6. Step 6: Final answer
    x = 390,719.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.