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Finding the Third Proportional to 687,755.50 and 1,508,371.50

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Solution

The third proportional to 687,755.50 and 1,508,371.50 is: 3,308,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,755.50 : 1,508,371.50 = 1,508,371.50 : x
  2. Step 2: Convert to fraction form
    687,755.50/1,508,371.50 = 1,508,371.50/x
  3. Step 3: Cross multiply
    687,755.50x = 1,508,371.50 × 1,508,371.50
  4. Step 4: Simplify right side
    687,755.50x = 2,275,184,582,012.25
  5. Step 5: Solve for x
    x = 2,275,184,582,012.25/687,755.50
  6. Step 6: Final answer
    x = 3,308,129.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.