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Finding the Third Proportional to 303,543 and 445,473

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Solution

The third proportional to 303,543 and 445,473 is: 653,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,543 : 445,473 = 445,473 : x
  2. Step 2: Convert to fraction form
    303,543/445,473 = 445,473/x
  3. Step 3: Cross multiply
    303,543x = 445,473 × 445,473
  4. Step 4: Simplify right side
    303,543x = 198,446,193,729
  5. Step 5: Solve for x
    x = 198,446,193,729/303,543
  6. Step 6: Final answer
    x = 653,766.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.