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Finding the Third Proportional to 133,491 and 310,399.50

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Solution

The third proportional to 133,491 and 310,399.50 is: 721,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,491 : 310,399.50 = 310,399.50 : x
  2. Step 2: Convert to fraction form
    133,491/310,399.50 = 310,399.50/x
  3. Step 3: Cross multiply
    133,491x = 310,399.50 × 310,399.50
  4. Step 4: Simplify right side
    133,491x = 96,347,849,600.25
  5. Step 5: Solve for x
    x = 96,347,849,600.25/133,491
  6. Step 6: Final answer
    x = 721,755.40

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.