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Finding the Third Proportional to 273,060 and 427,410

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Solution

The third proportional to 273,060 and 427,410 is: 669,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,060 : 427,410 = 427,410 : x
  2. Step 2: Convert to fraction form
    273,060/427,410 = 427,410/x
  3. Step 3: Cross multiply
    273,060x = 427,410 × 427,410
  4. Step 4: Simplify right side
    273,060x = 182,679,308,100
  5. Step 5: Solve for x
    x = 182,679,308,100/273,060
  6. Step 6: Final answer
    x = 669,007.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.