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Finding the Third Proportional to 319,065.75 and 493,985.25

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Solution

The third proportional to 319,065.75 and 493,985.25 is: 764,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,065.75 : 493,985.25 = 493,985.25 : x
  2. Step 2: Convert to fraction form
    319,065.75/493,985.25 = 493,985.25/x
  3. Step 3: Cross multiply
    319,065.75x = 493,985.25 × 493,985.25
  4. Step 4: Simplify right side
    319,065.75x = 244,021,427,217.56
  5. Step 5: Solve for x
    x = 244,021,427,217.56/319,065.75
  6. Step 6: Final answer
    x = 764,799.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.