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Finding the Third Proportional to 359,917 and 787,632

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Solution

The third proportional to 359,917 and 787,632 is: 1,723,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,917 : 787,632 = 787,632 : x
  2. Step 2: Convert to fraction form
    359,917/787,632 = 787,632/x
  3. Step 3: Cross multiply
    359,917x = 787,632 × 787,632
  4. Step 4: Simplify right side
    359,917x = 620,364,167,424
  5. Step 5: Solve for x
    x = 620,364,167,424/359,917
  6. Step 6: Final answer
    x = 1,723,631.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.