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Finding the Third Proportional to 498,624.75 and 819,186.75

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Solution

The third proportional to 498,624.75 and 819,186.75 is: 1,345,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,624.75 : 819,186.75 = 819,186.75 : x
  2. Step 2: Convert to fraction form
    498,624.75/819,186.75 = 819,186.75/x
  3. Step 3: Cross multiply
    498,624.75x = 819,186.75 × 819,186.75
  4. Step 4: Simplify right side
    498,624.75x = 671,066,931,375.56
  5. Step 5: Solve for x
    x = 671,066,931,375.56/498,624.75
  6. Step 6: Final answer
    x = 1,345,835.58

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.