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Finding the Third Proportional to 132,432 and 289,621

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Solution

The third proportional to 132,432 and 289,621 is: 633,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,432 : 289,621 = 289,621 : x
  2. Step 2: Convert to fraction form
    132,432/289,621 = 289,621/x
  3. Step 3: Cross multiply
    132,432x = 289,621 × 289,621
  4. Step 4: Simplify right side
    132,432x = 83,880,323,641
  5. Step 5: Solve for x
    x = 83,880,323,641/132,432
  6. Step 6: Final answer
    x = 633,384.10

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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.