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Finding the Third Proportional to 200,356 and 423,068

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Solution

The third proportional to 200,356 and 423,068 is: 893,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356 : 423,068 = 423,068 : x
  2. Step 2: Convert to fraction form
    200,356/423,068 = 423,068/x
  3. Step 3: Cross multiply
    200,356x = 423,068 × 423,068
  4. Step 4: Simplify right side
    200,356x = 178,986,532,624
  5. Step 5: Solve for x
    x = 178,986,532,624/200,356
  6. Step 6: Final answer
    x = 893,342.51

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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.