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Finding the Third Proportional to 93,366 and 199,854

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Solution

The third proportional to 93,366 and 199,854 is: 427,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,366 : 199,854 = 199,854 : x
  2. Step 2: Convert to fraction form
    93,366/199,854 = 199,854/x
  3. Step 3: Cross multiply
    93,366x = 199,854 × 199,854
  4. Step 4: Simplify right side
    93,366x = 39,941,621,316
  5. Step 5: Solve for x
    x = 39,941,621,316/93,366
  6. Step 6: Final answer
    x = 427,796.21

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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.