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Finding the Third Proportional to 276,872 and 433,748

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Solution

The third proportional to 276,872 and 433,748 is: 679,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,872 : 433,748 = 433,748 : x
  2. Step 2: Convert to fraction form
    276,872/433,748 = 433,748/x
  3. Step 3: Cross multiply
    276,872x = 433,748 × 433,748
  4. Step 4: Simplify right side
    276,872x = 188,137,327,504
  5. Step 5: Solve for x
    x = 188,137,327,504/276,872
  6. Step 6: Final answer
    x = 679,510.13

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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.