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Finding the Third Proportional to 200,362 and 423,080

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Solution

The third proportional to 200,362 and 423,080 is: 893,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,362 : 423,080 = 423,080 : x
  2. Step 2: Convert to fraction form
    200,362/423,080 = 423,080/x
  3. Step 3: Cross multiply
    200,362x = 423,080 × 423,080
  4. Step 4: Simplify right side
    200,362x = 178,996,686,400
  5. Step 5: Solve for x
    x = 178,996,686,400/200,362
  6. Step 6: Final answer
    x = 893,366.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.