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Finding the Third Proportional to 209,259 and 457,641

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Solution

The third proportional to 209,259 and 457,641 is: 1,000,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,259 : 457,641 = 457,641 : x
  2. Step 2: Convert to fraction form
    209,259/457,641 = 457,641/x
  3. Step 3: Cross multiply
    209,259x = 457,641 × 457,641
  4. Step 4: Simplify right side
    209,259x = 209,435,284,881
  5. Step 5: Solve for x
    x = 209,435,284,881/209,259
  6. Step 6: Final answer
    x = 1,000,842.42

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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.