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Finding the Third Proportional to 209,387 and 458,383

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Solution

The third proportional to 209,387 and 458,383 is: 1,003,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,387 : 458,383 = 458,383 : x
  2. Step 2: Convert to fraction form
    209,387/458,383 = 458,383/x
  3. Step 3: Cross multiply
    209,387x = 458,383 × 458,383
  4. Step 4: Simplify right side
    209,387x = 210,114,974,689
  5. Step 5: Solve for x
    x = 210,114,974,689/209,387
  6. Step 6: Final answer
    x = 1,003,476.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.