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Finding the Third Proportional to 289,874 and 433,478

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Solution

The third proportional to 289,874 and 433,478 is: 648,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,874 : 433,478 = 433,478 : x
  2. Step 2: Convert to fraction form
    289,874/433,478 = 433,478/x
  3. Step 3: Cross multiply
    289,874x = 433,478 × 433,478
  4. Step 4: Simplify right side
    289,874x = 187,903,176,484
  5. Step 5: Solve for x
    x = 187,903,176,484/289,874
  6. Step 6: Final answer
    x = 648,223.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.