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Finding the Third Proportional to 207,383 and 423,513

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Solution

The third proportional to 207,383 and 423,513 is: 864,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,383 : 423,513 = 423,513 : x
  2. Step 2: Convert to fraction form
    207,383/423,513 = 423,513/x
  3. Step 3: Cross multiply
    207,383x = 423,513 × 423,513
  4. Step 4: Simplify right side
    207,383x = 179,363,261,169
  5. Step 5: Solve for x
    x = 179,363,261,169/207,383
  6. Step 6: Final answer
    x = 864,888.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.