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Finding the Third Proportional to 438,622.50 and 661,173

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Solution

The third proportional to 438,622.50 and 661,173 is: 996,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,622.50 : 661,173 = 661,173 : x
  2. Step 2: Convert to fraction form
    438,622.50/661,173 = 661,173/x
  3. Step 3: Cross multiply
    438,622.50x = 661,173 × 661,173
  4. Step 4: Simplify right side
    438,622.50x = 437,149,735,929
  5. Step 5: Solve for x
    x = 437,149,735,929/438,622.50
  6. Step 6: Final answer
    x = 996,642.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.