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Finding the Third Proportional to 133,140 and 289,791

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Solution

The third proportional to 133,140 and 289,791 is: 630,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,140 : 289,791 = 289,791 : x
  2. Step 2: Convert to fraction form
    133,140/289,791 = 289,791/x
  3. Step 3: Cross multiply
    133,140x = 289,791 × 289,791
  4. Step 4: Simplify right side
    133,140x = 83,978,823,681
  5. Step 5: Solve for x
    x = 83,978,823,681/133,140
  6. Step 6: Final answer
    x = 630,755.77

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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.