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Finding the Third Proportional to 305,317.50 and 661,458

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Solution

The third proportional to 305,317.50 and 661,458 is: 1,433,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,317.50 : 661,458 = 661,458 : x
  2. Step 2: Convert to fraction form
    305,317.50/661,458 = 661,458/x
  3. Step 3: Cross multiply
    305,317.50x = 661,458 × 661,458
  4. Step 4: Simplify right side
    305,317.50x = 437,526,685,764
  5. Step 5: Solve for x
    x = 437,526,685,764/305,317.50
  6. Step 6: Final answer
    x = 1,433,021.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.