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Finding the Third Proportional to 359,931 and 787,652

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Solution

The third proportional to 359,931 and 787,652 is: 1,723,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,931 : 787,652 = 787,652 : x
  2. Step 2: Convert to fraction form
    359,931/787,652 = 787,652/x
  3. Step 3: Cross multiply
    359,931x = 787,652 × 787,652
  4. Step 4: Simplify right side
    359,931x = 620,395,673,104
  5. Step 5: Solve for x
    x = 620,395,673,104/359,931
  6. Step 6: Final answer
    x = 1,723,651.68

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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.