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Finding the Third Proportional to 132,300 and 289,438

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Solution

The third proportional to 132,300 and 289,438 is: 633,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,300 : 289,438 = 289,438 : x
  2. Step 2: Convert to fraction form
    132,300/289,438 = 289,438/x
  3. Step 3: Cross multiply
    132,300x = 289,438 × 289,438
  4. Step 4: Simplify right side
    132,300x = 83,774,355,844
  5. Step 5: Solve for x
    x = 83,774,355,844/132,300
  6. Step 6: Final answer
    x = 633,215.09

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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.