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Finding the Third Proportional to 289,323 and 433,701

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Solution

The third proportional to 289,323 and 433,701 is: 650,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,323 : 433,701 = 433,701 : x
  2. Step 2: Convert to fraction form
    289,323/433,701 = 433,701/x
  3. Step 3: Cross multiply
    289,323x = 433,701 × 433,701
  4. Step 4: Simplify right side
    289,323x = 188,096,557,401
  5. Step 5: Solve for x
    x = 188,096,557,401/289,323
  6. Step 6: Final answer
    x = 650,126.53

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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.