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Finding the Third Proportional to 273,915 and 411,520.50

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Solution

The third proportional to 273,915 and 411,520.50 is: 618,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,915 : 411,520.50 = 411,520.50 : x
  2. Step 2: Convert to fraction form
    273,915/411,520.50 = 411,520.50/x
  3. Step 3: Cross multiply
    273,915x = 411,520.50 × 411,520.50
  4. Step 4: Simplify right side
    273,915x = 169,349,121,920.25
  5. Step 5: Solve for x
    x = 169,349,121,920.25/273,915
  6. Step 6: Final answer
    x = 618,254.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.