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Finding the Third Proportional to 273,582 and 426,978

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Solution

The third proportional to 273,582 and 426,978 is: 666,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,582 : 426,978 = 426,978 : x
  2. Step 2: Convert to fraction form
    273,582/426,978 = 426,978/x
  3. Step 3: Cross multiply
    273,582x = 426,978 × 426,978
  4. Step 4: Simplify right side
    273,582x = 182,310,212,484
  5. Step 5: Solve for x
    x = 182,310,212,484/273,582
  6. Step 6: Final answer
    x = 666,382.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.