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Finding the Third Proportional to 133,155 and 289,638

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Solution

The third proportional to 133,155 and 289,638 is: 630,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,155 : 289,638 = 289,638 : x
  2. Step 2: Convert to fraction form
    133,155/289,638 = 289,638/x
  3. Step 3: Cross multiply
    133,155x = 289,638 × 289,638
  4. Step 4: Simplify right side
    133,155x = 83,890,171,044
  5. Step 5: Solve for x
    x = 83,890,171,044/133,155
  6. Step 6: Final answer
    x = 630,018.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.