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Finding the Third Proportional to 354,622 and 545,055

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Solution

The third proportional to 354,622 and 545,055 is: 837,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,622 : 545,055 = 545,055 : x
  2. Step 2: Convert to fraction form
    354,622/545,055 = 545,055/x
  3. Step 3: Cross multiply
    354,622x = 545,055 × 545,055
  4. Step 4: Simplify right side
    354,622x = 297,084,953,025
  5. Step 5: Solve for x
    x = 297,084,953,025/354,622
  6. Step 6: Final answer
    x = 837,751.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.