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Finding the Third Proportional to 319.41 and 501.90

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Solution

The third proportional to 319.41 and 501.90 is: 788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.41 : 501.90 = 501.90 : x
  2. Step 2: Convert to fraction form
    319.41/501.90 = 501.90/x
  3. Step 3: Cross multiply
    319.41x = 501.90 × 501.90
  4. Step 4: Simplify right side
    319.41x = 251,903.02
  5. Step 5: Solve for x
    x = 251,903.02/319.41
  6. Step 6: Final answer
    x = 788.65

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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.