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Finding the Third Proportional to 289,328 and 433,706

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Solution

The third proportional to 289,328 and 433,706 is: 650,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,328 : 433,706 = 433,706 : x
  2. Step 2: Convert to fraction form
    289,328/433,706 = 433,706/x
  3. Step 3: Cross multiply
    289,328x = 433,706 × 433,706
  4. Step 4: Simplify right side
    289,328x = 188,100,894,436
  5. Step 5: Solve for x
    x = 188,100,894,436/289,328
  6. Step 6: Final answer
    x = 650,130.28

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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.