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Finding the Third Proportional to 359,958 and 787,716

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Solution

The third proportional to 359,958 and 787,716 is: 1,723,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,958 : 787,716 = 787,716 : x
  2. Step 2: Convert to fraction form
    359,958/787,716 = 787,716/x
  3. Step 3: Cross multiply
    359,958x = 787,716 × 787,716
  4. Step 4: Simplify right side
    359,958x = 620,496,496,656
  5. Step 5: Solve for x
    x = 620,496,496,656/359,958
  6. Step 6: Final answer
    x = 1,723,802.49

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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.