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Finding the Third Proportional to 359,948 and 787,690

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Solution

The third proportional to 359,948 and 787,690 is: 1,723,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,948 : 787,690 = 787,690 : x
  2. Step 2: Convert to fraction form
    359,948/787,690 = 787,690/x
  3. Step 3: Cross multiply
    359,948x = 787,690 × 787,690
  4. Step 4: Simplify right side
    359,948x = 620,455,536,100
  5. Step 5: Solve for x
    x = 620,455,536,100/359,948
  6. Step 6: Final answer
    x = 1,723,736.58

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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.