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Finding the Third Proportional to 359,954 and 787,708

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Solution

The third proportional to 359,954 and 787,708 is: 1,723,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,954 : 787,708 = 787,708 : x
  2. Step 2: Convert to fraction form
    359,954/787,708 = 787,708/x
  3. Step 3: Cross multiply
    359,954x = 787,708 × 787,708
  4. Step 4: Simplify right side
    359,954x = 620,483,893,264
  5. Step 5: Solve for x
    x = 620,483,893,264/359,954
  6. Step 6: Final answer
    x = 1,723,786.63

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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.