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Finding the Third Proportional to 200,351 and 423,057

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Solution

The third proportional to 200,351 and 423,057 is: 893,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,351 : 423,057 = 423,057 : x
  2. Step 2: Convert to fraction form
    200,351/423,057 = 423,057/x
  3. Step 3: Cross multiply
    200,351x = 423,057 × 423,057
  4. Step 4: Simplify right side
    200,351x = 178,977,225,249
  5. Step 5: Solve for x
    x = 178,977,225,249/200,351
  6. Step 6: Final answer
    x = 893,318.35

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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.