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Finding the Third Proportional to 359,926 and 787,649

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Solution

The third proportional to 359,926 and 787,649 is: 1,723,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,926 : 787,649 = 787,649 : x
  2. Step 2: Convert to fraction form
    359,926/787,649 = 787,649/x
  3. Step 3: Cross multiply
    359,926x = 787,649 × 787,649
  4. Step 4: Simplify right side
    359,926x = 620,390,947,201
  5. Step 5: Solve for x
    x = 620,390,947,201/359,926
  6. Step 6: Final answer
    x = 1,723,662.50

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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.