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Finding the Third Proportional to 273,818 and 420,699

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Solution

The third proportional to 273,818 and 420,699 is: 646,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,818 : 420,699 = 420,699 : x
  2. Step 2: Convert to fraction form
    273,818/420,699 = 420,699/x
  3. Step 3: Cross multiply
    273,818x = 420,699 × 420,699
  4. Step 4: Simplify right side
    273,818x = 176,987,648,601
  5. Step 5: Solve for x
    x = 176,987,648,601/273,818
  6. Step 6: Final answer
    x = 646,369.66

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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.