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Finding the Third Proportional to 403,783 and 548,609

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Solution

The third proportional to 403,783 and 548,609 is: 745,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,783 : 548,609 = 548,609 : x
  2. Step 2: Convert to fraction form
    403,783/548,609 = 548,609/x
  3. Step 3: Cross multiply
    403,783x = 548,609 × 548,609
  4. Step 4: Simplify right side
    403,783x = 300,971,834,881
  5. Step 5: Solve for x
    x = 300,971,834,881/403,783
  6. Step 6: Final answer
    x = 745,380.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.