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Finding the Third Proportional to 273,042 and 407,454

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Solution

The third proportional to 273,042 and 407,454 is: 608,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,042 : 407,454 = 407,454 : x
  2. Step 2: Convert to fraction form
    273,042/407,454 = 407,454/x
  3. Step 3: Cross multiply
    273,042x = 407,454 × 407,454
  4. Step 4: Simplify right side
    273,042x = 166,018,762,116
  5. Step 5: Solve for x
    x = 166,018,762,116/273,042
  6. Step 6: Final answer
    x = 608,033.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.