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Finding the Third Proportional to 359,922 and 787,641

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Solution

The third proportional to 359,922 and 787,641 is: 1,723,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,922 : 787,641 = 787,641 : x
  2. Step 2: Convert to fraction form
    359,922/787,641 = 787,641/x
  3. Step 3: Cross multiply
    359,922x = 787,641 × 787,641
  4. Step 4: Simplify right side
    359,922x = 620,378,344,881
  5. Step 5: Solve for x
    x = 620,378,344,881/359,922
  6. Step 6: Final answer
    x = 1,723,646.64

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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.