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Finding the Third Proportional to 320,190.75 and 502,264.13

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Solution

The third proportional to 320,190.75 and 502,264.13 is: 787,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,190.75 : 502,264.13 = 502,264.13 : x
  2. Step 2: Convert to fraction form
    320,190.75/502,264.13 = 502,264.13/x
  3. Step 3: Cross multiply
    320,190.75x = 502,264.13 × 502,264.13
  4. Step 4: Simplify right side
    320,190.75x = 252,269,251,262.02
  5. Step 5: Solve for x
    x = 252,269,251,262.02/320,190.75
  6. Step 6: Final answer
    x = 787,871.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.