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Finding the Third Proportional to 276,813 and 433,672

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Solution

The third proportional to 276,813 and 433,672 is: 679,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,813 : 433,672 = 433,672 : x
  2. Step 2: Convert to fraction form
    276,813/433,672 = 433,672/x
  3. Step 3: Cross multiply
    276,813x = 433,672 × 433,672
  4. Step 4: Simplify right side
    276,813x = 188,071,403,584
  5. Step 5: Solve for x
    x = 188,071,403,584/276,813
  6. Step 6: Final answer
    x = 679,416.80

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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.