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Finding the Third Proportional to 358,519 and 787,023

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Solution

The third proportional to 358,519 and 787,023 is: 1,727,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,519 : 787,023 = 787,023 : x
  2. Step 2: Convert to fraction form
    358,519/787,023 = 787,023/x
  3. Step 3: Cross multiply
    358,519x = 787,023 × 787,023
  4. Step 4: Simplify right side
    358,519x = 619,405,202,529
  5. Step 5: Solve for x
    x = 619,405,202,529/358,519
  6. Step 6: Final answer
    x = 1,727,677.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.