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Finding the Third Proportional to 273,169 and 557,178

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Solution

The third proportional to 273,169 and 557,178 is: 1,136,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,169 : 557,178 = 557,178 : x
  2. Step 2: Convert to fraction form
    273,169/557,178 = 557,178/x
  3. Step 3: Cross multiply
    273,169x = 557,178 × 557,178
  4. Step 4: Simplify right side
    273,169x = 310,447,323,684
  5. Step 5: Solve for x
    x = 310,447,323,684/273,169
  6. Step 6: Final answer
    x = 1,136,466.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.