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Finding the Third Proportional to 359,718.79 and 769,285.79

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Solution

The third proportional to 359,718.79 and 769,285.79 is: 1,645,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,718.79 : 769,285.79 = 769,285.79 : x
  2. Step 2: Convert to fraction form
    359,718.79/769,285.79 = 769,285.79/x
  3. Step 3: Cross multiply
    359,718.79x = 769,285.79 × 769,285.79
  4. Step 4: Simplify right side
    359,718.79x = 591,800,631,263.56
  5. Step 5: Solve for x
    x = 591,800,631,263.56/359,718.79
  6. Step 6: Final answer
    x = 1,645,175.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.