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Finding the Third Proportional to 209,392 and 457,897

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Solution

The third proportional to 209,392 and 457,897 is: 1,001,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,392 : 457,897 = 457,897 : x
  2. Step 2: Convert to fraction form
    209,392/457,897 = 457,897/x
  3. Step 3: Cross multiply
    209,392x = 457,897 × 457,897
  4. Step 4: Simplify right side
    209,392x = 209,669,662,609
  5. Step 5: Solve for x
    x = 209,669,662,609/209,392
  6. Step 6: Final answer
    x = 1,001,326.04

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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.