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Finding the Third Proportional to 513,341.30 and 769,231.69

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Solution

The third proportional to 513,341.30 and 769,231.69 is: 1,152,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,341.30 : 769,231.69 = 769,231.69 : x
  2. Step 2: Convert to fraction form
    513,341.30/769,231.69 = 769,231.69/x
  3. Step 3: Cross multiply
    513,341.30x = 769,231.69 × 769,231.69
  4. Step 4: Simplify right side
    513,341.30x = 591,717,389,054.10
  5. Step 5: Solve for x
    x = 591,717,389,054.10/513,341.30
  6. Step 6: Final answer
    x = 1,152,678.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.