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Finding the Third Proportional to 303,542 and 445,471

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Solution

The third proportional to 303,542 and 445,471 is: 653,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,542 : 445,471 = 445,471 : x
  2. Step 2: Convert to fraction form
    303,542/445,471 = 445,471/x
  3. Step 3: Cross multiply
    303,542x = 445,471 × 445,471
  4. Step 4: Simplify right side
    303,542x = 198,444,411,841
  5. Step 5: Solve for x
    x = 198,444,411,841/303,542
  6. Step 6: Final answer
    x = 653,762.62

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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.