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Finding the Third Proportional to 359,921 and 787,639

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Solution

The third proportional to 359,921 and 787,639 is: 1,723,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,921 : 787,639 = 787,639 : x
  2. Step 2: Convert to fraction form
    359,921/787,639 = 787,639/x
  3. Step 3: Cross multiply
    359,921x = 787,639 × 787,639
  4. Step 4: Simplify right side
    359,921x = 620,375,194,321
  5. Step 5: Solve for x
    x = 620,375,194,321/359,921
  6. Step 6: Final answer
    x = 1,723,642.67

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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.