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Finding the Third Proportional to 355,471 and 545,084

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Solution

The third proportional to 355,471 and 545,084 is: 835,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,471 : 545,084 = 545,084 : x
  2. Step 2: Convert to fraction form
    355,471/545,084 = 545,084/x
  3. Step 3: Cross multiply
    355,471x = 545,084 × 545,084
  4. Step 4: Simplify right side
    355,471x = 297,116,567,056
  5. Step 5: Solve for x
    x = 297,116,567,056/355,471
  6. Step 6: Final answer
    x = 835,839.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.