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Finding the Third Proportional to 273,158 and 428,506

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Solution

The third proportional to 273,158 and 428,506 is: 672,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,158 : 428,506 = 428,506 : x
  2. Step 2: Convert to fraction form
    273,158/428,506 = 428,506/x
  3. Step 3: Cross multiply
    273,158x = 428,506 × 428,506
  4. Step 4: Simplify right side
    273,158x = 183,617,392,036
  5. Step 5: Solve for x
    x = 183,617,392,036/273,158
  6. Step 6: Final answer
    x = 672,202.14

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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.