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Finding the Third Proportional to 96,940 and 202,709

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Solution

The third proportional to 96,940 and 202,709 is: 423,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,940 : 202,709 = 202,709 : x
  2. Step 2: Convert to fraction form
    96,940/202,709 = 202,709/x
  3. Step 3: Cross multiply
    96,940x = 202,709 × 202,709
  4. Step 4: Simplify right side
    96,940x = 41,090,938,681
  5. Step 5: Solve for x
    x = 41,090,938,681/96,940
  6. Step 6: Final answer
    x = 423,880.12

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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.