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Finding the Third Proportional to 289,283 and 432,876

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Solution

The third proportional to 289,283 and 432,876 is: 647,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,283 : 432,876 = 432,876 : x
  2. Step 2: Convert to fraction form
    289,283/432,876 = 432,876/x
  3. Step 3: Cross multiply
    289,283x = 432,876 × 432,876
  4. Step 4: Simplify right side
    289,283x = 187,381,631,376
  5. Step 5: Solve for x
    x = 187,381,631,376/289,283
  6. Step 6: Final answer
    x = 647,745.05

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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.