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Finding the Third Proportional to 132,440 and 289,638

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Solution

The third proportional to 132,440 and 289,638 is: 633,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,440 : 289,638 = 289,638 : x
  2. Step 2: Convert to fraction form
    132,440/289,638 = 289,638/x
  3. Step 3: Cross multiply
    132,440x = 289,638 × 289,638
  4. Step 4: Simplify right side
    132,440x = 83,890,171,044
  5. Step 5: Solve for x
    x = 83,890,171,044/132,440
  6. Step 6: Final answer
    x = 633,420.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.