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Finding the Third Proportional to 303,588 and 452,919

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Solution

The third proportional to 303,588 and 452,919 is: 675,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,588 : 452,919 = 452,919 : x
  2. Step 2: Convert to fraction form
    303,588/452,919 = 452,919/x
  3. Step 3: Cross multiply
    303,588x = 452,919 × 452,919
  4. Step 4: Simplify right side
    303,588x = 205,135,620,561
  5. Step 5: Solve for x
    x = 205,135,620,561/303,588
  6. Step 6: Final answer
    x = 675,703.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.