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Finding the Third Proportional to 276,690 and 423,064.13

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Solution

The third proportional to 276,690 and 423,064.13 is: 646,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,690 : 423,064.13 = 423,064.13 : x
  2. Step 2: Convert to fraction form
    276,690/423,064.13 = 423,064.13/x
  3. Step 3: Cross multiply
    276,690x = 423,064.13 × 423,064.13
  4. Step 4: Simplify right side
    276,690x = 178,983,253,862.02
  5. Step 5: Solve for x
    x = 178,983,253,862.02/276,690
  6. Step 6: Final answer
    x = 646,872.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.